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Finding the Fourth Proportional to 261.54, 392.13 and 124.45

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Solution

The fourth proportional to 261.54, 392.13 and 124.45 is: 186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 392.13 = 124.45 : x
  2. Step 2: Convert to fraction form
    261.54/392.13 = 124.45/x
  3. Step 3: Cross multiply
    261.54x = 392.13 × 124.45
  4. Step 4: Simplify right side
    261.54x = 48,799.60
  5. Step 5: Solve for x
    x = 48,799.60/261.54
  6. Step 6: Final answer
    x = 186.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.