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Finding the Fourth Proportional to 261.04, 392.26 and 139.39

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Solution

The fourth proportional to 261.04, 392.26 and 139.39 is: 209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 392.26 = 139.39 : x
  2. Step 2: Convert to fraction form
    261.04/392.26 = 139.39/x
  3. Step 3: Cross multiply
    261.04x = 392.26 × 139.39
  4. Step 4: Simplify right side
    261.04x = 54,675.16
  5. Step 5: Solve for x
    x = 54,675.16/261.04
  6. Step 6: Final answer
    x = 209.46

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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.