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Finding the Fourth Proportional to 261.42, 392.14 and 117.14

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Solution

The fourth proportional to 261.42, 392.14 and 117.14 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 392.14 = 117.14 : x
  2. Step 2: Convert to fraction form
    261.42/392.14 = 117.14/x
  3. Step 3: Cross multiply
    261.42x = 392.14 × 117.14
  4. Step 4: Simplify right side
    261.42x = 45,935.28
  5. Step 5: Solve for x
    x = 45,935.28/261.42
  6. Step 6: Final answer
    x = 175.71

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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.