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Finding the Fourth Proportional to 261.32, 360.50 and 150.76

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Solution

The fourth proportional to 261.32, 360.50 and 150.76 is: 207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 360.50 = 150.76 : x
  2. Step 2: Convert to fraction form
    261.32/360.50 = 150.76/x
  3. Step 3: Cross multiply
    261.32x = 360.50 × 150.76
  4. Step 4: Simplify right side
    261.32x = 54,348.98
  5. Step 5: Solve for x
    x = 54,348.98/261.32
  6. Step 6: Final answer
    x = 207.98

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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.