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Finding the Fourth Proportional to 261.14, 360.18 and 187.43

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Solution

The fourth proportional to 261.14, 360.18 and 187.43 is: 258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.14 : 360.18 = 187.43 : x
  2. Step 2: Convert to fraction form
    261.14/360.18 = 187.43/x
  3. Step 3: Cross multiply
    261.14x = 360.18 × 187.43
  4. Step 4: Simplify right side
    261.14x = 67,506.74
  5. Step 5: Solve for x
    x = 67,506.74/261.14
  6. Step 6: Final answer
    x = 258.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.