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Finding the Fourth Proportional to 261.59, 360.64 and 187.78

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Solution

The fourth proportional to 261.59, 360.64 and 187.78 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.59 : 360.64 = 187.78 : x
  2. Step 2: Convert to fraction form
    261.59/360.64 = 187.78/x
  3. Step 3: Cross multiply
    261.59x = 360.64 × 187.78
  4. Step 4: Simplify right side
    261.59x = 67,720.98
  5. Step 5: Solve for x
    x = 67,720.98/261.59
  6. Step 6: Final answer
    x = 258.88

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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.