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Finding the Fourth Proportional to 452.84, 678.72 and 178.82

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Solution

The fourth proportional to 452.84, 678.72 and 178.82 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.84 : 678.72 = 178.82 : x
  2. Step 2: Convert to fraction form
    452.84/678.72 = 178.82/x
  3. Step 3: Cross multiply
    452.84x = 678.72 × 178.82
  4. Step 4: Simplify right side
    452.84x = 121,368.71
  5. Step 5: Solve for x
    x = 121,368.71/452.84
  6. Step 6: Final answer
    x = 268.02

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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.