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Finding the Fourth Proportional to 214.74, 322.30 and 112.08

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Solution

The fourth proportional to 214.74, 322.30 and 112.08 is: 168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 322.30 = 112.08 : x
  2. Step 2: Convert to fraction form
    214.74/322.30 = 112.08/x
  3. Step 3: Cross multiply
    214.74x = 322.30 × 112.08
  4. Step 4: Simplify right side
    214.74x = 36,123.38
  5. Step 5: Solve for x
    x = 36,123.38/214.74
  6. Step 6: Final answer
    x = 168.22

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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.