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Finding the Fourth Proportional to 261.43, 360.65 and 150.86

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Solution

The fourth proportional to 261.43, 360.65 and 150.86 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.43 : 360.65 = 150.86 : x
  2. Step 2: Convert to fraction form
    261.43/360.65 = 150.86/x
  3. Step 3: Cross multiply
    261.43x = 360.65 × 150.86
  4. Step 4: Simplify right side
    261.43x = 54,408.94
  5. Step 5: Solve for x
    x = 54,408.94/261.43
  6. Step 6: Final answer
    x = 208.12

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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.