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Finding the Fourth Proportional to 142.28, 214.39 and 117.17

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Solution

The fourth proportional to 142.28, 214.39 and 117.17 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 214.39 = 117.17 : x
  2. Step 2: Convert to fraction form
    142.28/214.39 = 117.17/x
  3. Step 3: Cross multiply
    142.28x = 214.39 × 117.17
  4. Step 4: Simplify right side
    142.28x = 25,118.42
  5. Step 5: Solve for x
    x = 25,118.42/142.28
  6. Step 6: Final answer
    x = 176.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.