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Finding the Fourth Proportional to 214.64, 322.16 and 112

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Solution

The fourth proportional to 214.64, 322.16 and 112 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322.16 = 112 : x
  2. Step 2: Convert to fraction form
    214.64/322.16 = 112/x
  3. Step 3: Cross multiply
    214.64x = 322.16 × 112
  4. Step 4: Simplify right side
    214.64x = 36,081.92
  5. Step 5: Solve for x
    x = 36,081.92/214.64
  6. Step 6: Final answer
    x = 168.10

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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.