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Finding the Fourth Proportional to 864.12, 1,296.16 and 214.86

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Solution

The fourth proportional to 864.12, 1,296.16 and 214.86 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.12 : 1,296.16 = 214.86 : x
  2. Step 2: Convert to fraction form
    864.12/1,296.16 = 214.86/x
  3. Step 3: Cross multiply
    864.12x = 1,296.16 × 214.86
  4. Step 4: Simplify right side
    864.12x = 278,492.94
  5. Step 5: Solve for x
    x = 278,492.94/864.12
  6. Step 6: Final answer
    x = 322.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.