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Finding the Fourth Proportional to 261.74, 392.40 and 180.74

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Solution

The fourth proportional to 261.74, 392.40 and 180.74 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 392.40 = 180.74 : x
  2. Step 2: Convert to fraction form
    261.74/392.40 = 180.74/x
  3. Step 3: Cross multiply
    261.74x = 392.40 × 180.74
  4. Step 4: Simplify right side
    261.74x = 70,922.38
  5. Step 5: Solve for x
    x = 70,922.38/261.74
  6. Step 6: Final answer
    x = 270.96

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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.