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Finding the Fourth Proportional to 214.24, 320.12 and 210.16

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Solution

The fourth proportional to 214.24, 320.12 and 210.16 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 320.12 = 210.16 : x
  2. Step 2: Convert to fraction form
    214.24/320.12 = 210.16/x
  3. Step 3: Cross multiply
    214.24x = 320.12 × 210.16
  4. Step 4: Simplify right side
    214.24x = 67,276.42
  5. Step 5: Solve for x
    x = 67,276.42/214.24
  6. Step 6: Final answer
    x = 314.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.