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Finding the Fourth Proportional to 261.27, 392.51 and 189.59

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Solution

The fourth proportional to 261.27, 392.51 and 189.59 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 392.51 = 189.59 : x
  2. Step 2: Convert to fraction form
    261.27/392.51 = 189.59/x
  3. Step 3: Cross multiply
    261.27x = 392.51 × 189.59
  4. Step 4: Simplify right side
    261.27x = 74,414.48
  5. Step 5: Solve for x
    x = 74,414.48/261.27
  6. Step 6: Final answer
    x = 284.82

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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.