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Finding the Fourth Proportional to 450.87, 675.84 and 176.85

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Solution

The fourth proportional to 450.87, 675.84 and 176.85 is: 265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.87 : 675.84 = 176.85 : x
  2. Step 2: Convert to fraction form
    450.87/675.84 = 176.85/x
  3. Step 3: Cross multiply
    450.87x = 675.84 × 176.85
  4. Step 4: Simplify right side
    450.87x = 119,522.97
  5. Step 5: Solve for x
    x = 119,522.97/450.87
  6. Step 6: Final answer
    x = 265.10

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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.