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Finding the Fourth Proportional to 261.64, 391.78 and 184.18

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Solution

The fourth proportional to 261.64, 391.78 and 184.18 is: 275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.64 : 391.78 = 184.18 : x
  2. Step 2: Convert to fraction form
    261.64/391.78 = 184.18/x
  3. Step 3: Cross multiply
    261.64x = 391.78 × 184.18
  4. Step 4: Simplify right side
    261.64x = 72,158.46
  5. Step 5: Solve for x
    x = 72,158.46/261.64
  6. Step 6: Final answer
    x = 275.79

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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.