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Finding the Fourth Proportional to 177.71, 245.16 and 112.14

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Solution

The fourth proportional to 177.71, 245.16 and 112.14 is: 154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.71 : 245.16 = 112.14 : x
  2. Step 2: Convert to fraction form
    177.71/245.16 = 112.14/x
  3. Step 3: Cross multiply
    177.71x = 245.16 × 112.14
  4. Step 4: Simplify right side
    177.71x = 27,492.24
  5. Step 5: Solve for x
    x = 27,492.24/177.71
  6. Step 6: Final answer
    x = 154.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.