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Finding the Fourth Proportional to 261.50, 359.35 and 249.45

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Solution

The fourth proportional to 261.50, 359.35 and 249.45 is: 342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 359.35 = 249.45 : x
  2. Step 2: Convert to fraction form
    261.50/359.35 = 249.45/x
  3. Step 3: Cross multiply
    261.50x = 359.35 × 249.45
  4. Step 4: Simplify right side
    261.50x = 89,637.89
  5. Step 5: Solve for x
    x = 89,637.89/261.50
  6. Step 6: Final answer
    x = 342.79

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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.