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Finding the Fourth Proportional to 261.40, 392.23 and 189.85

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Solution

The fourth proportional to 261.40, 392.23 and 189.85 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 392.23 = 189.85 : x
  2. Step 2: Convert to fraction form
    261.40/392.23 = 189.85/x
  3. Step 3: Cross multiply
    261.40x = 392.23 × 189.85
  4. Step 4: Simplify right side
    261.40x = 74,462.90
  5. Step 5: Solve for x
    x = 74,462.90/261.40
  6. Step 6: Final answer
    x = 284.87

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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.