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Finding the Fourth Proportional to 240.88, 332.58 and 178.84

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Solution

The fourth proportional to 240.88, 332.58 and 178.84 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 332.58 = 178.84 : x
  2. Step 2: Convert to fraction form
    240.88/332.58 = 178.84/x
  3. Step 3: Cross multiply
    240.88x = 332.58 × 178.84
  4. Step 4: Simplify right side
    240.88x = 59,478.61
  5. Step 5: Solve for x
    x = 59,478.61/240.88
  6. Step 6: Final answer
    x = 246.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.