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Finding the Fourth Proportional to 261.97, 393.04 and 157.97

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Solution

The fourth proportional to 261.97, 393.04 and 157.97 is: 237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 393.04 = 157.97 : x
  2. Step 2: Convert to fraction form
    261.97/393.04 = 157.97/x
  3. Step 3: Cross multiply
    261.97x = 393.04 × 157.97
  4. Step 4: Simplify right side
    261.97x = 62,087.74
  5. Step 5: Solve for x
    x = 62,087.74/261.97
  6. Step 6: Final answer
    x = 237.00

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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.