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Finding the Fourth Proportional to 452.66, 679.05 and 178.74

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Solution

The fourth proportional to 452.66, 679.05 and 178.74 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 679.05 = 178.74 : x
  2. Step 2: Convert to fraction form
    452.66/679.05 = 178.74/x
  3. Step 3: Cross multiply
    452.66x = 679.05 × 178.74
  4. Step 4: Simplify right side
    452.66x = 121,373.40
  5. Step 5: Solve for x
    x = 121,373.40/452.66
  6. Step 6: Final answer
    x = 268.14

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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.