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Finding the Fourth Proportional to 261.52, 392.18 and 107.40

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Solution

The fourth proportional to 261.52, 392.18 and 107.40 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.52 : 392.18 = 107.40 : x
  2. Step 2: Convert to fraction form
    261.52/392.18 = 107.40/x
  3. Step 3: Cross multiply
    261.52x = 392.18 × 107.40
  4. Step 4: Simplify right side
    261.52x = 42,120.13
  5. Step 5: Solve for x
    x = 42,120.13/261.52
  6. Step 6: Final answer
    x = 161.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.