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Finding the Fourth Proportional to 261.60, 392.37 and 117.24

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Solution

The fourth proportional to 261.60, 392.37 and 117.24 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 392.37 = 117.24 : x
  2. Step 2: Convert to fraction form
    261.60/392.37 = 117.24/x
  3. Step 3: Cross multiply
    261.60x = 392.37 × 117.24
  4. Step 4: Simplify right side
    261.60x = 46,001.46
  5. Step 5: Solve for x
    x = 46,001.46/261.60
  6. Step 6: Final answer
    x = 175.85

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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.