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Finding the Fourth Proportional to 261.04, 358.64 and 249.52

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Solution

The fourth proportional to 261.04, 358.64 and 249.52 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 358.64 = 249.52 : x
  2. Step 2: Convert to fraction form
    261.04/358.64 = 249.52/x
  3. Step 3: Cross multiply
    261.04x = 358.64 × 249.52
  4. Step 4: Simplify right side
    261.04x = 89,487.85
  5. Step 5: Solve for x
    x = 89,487.85/261.04
  6. Step 6: Final answer
    x = 342.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.