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Finding the Fourth Proportional to 261.27, 360.52 and 156.34

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Solution

The fourth proportional to 261.27, 360.52 and 156.34 is: 215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 360.52 = 156.34 : x
  2. Step 2: Convert to fraction form
    261.27/360.52 = 156.34/x
  3. Step 3: Cross multiply
    261.27x = 360.52 × 156.34
  4. Step 4: Simplify right side
    261.27x = 56,361.89
  5. Step 5: Solve for x
    x = 56,361.89/261.27
  6. Step 6: Final answer
    x = 215.72

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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.