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Finding the Fourth Proportional to 261.67, 392.37 and 139.81

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Solution

The fourth proportional to 261.67, 392.37 and 139.81 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 392.37 = 139.81 : x
  2. Step 2: Convert to fraction form
    261.67/392.37 = 139.81/x
  3. Step 3: Cross multiply
    261.67x = 392.37 × 139.81
  4. Step 4: Simplify right side
    261.67x = 54,857.25
  5. Step 5: Solve for x
    x = 54,857.25/261.67
  6. Step 6: Final answer
    x = 209.64

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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.