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Finding the Fourth Proportional to 261.47, 392.15 and 157.39

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Solution

The fourth proportional to 261.47, 392.15 and 157.39 is: 236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.47 : 392.15 = 157.39 : x
  2. Step 2: Convert to fraction form
    261.47/392.15 = 157.39/x
  3. Step 3: Cross multiply
    261.47x = 392.15 × 157.39
  4. Step 4: Simplify right side
    261.47x = 61,719.90
  5. Step 5: Solve for x
    x = 61,719.90/261.47
  6. Step 6: Final answer
    x = 236.05

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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.