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Finding the Fourth Proportional to 450.80, 675.84 and 177.08

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Solution

The fourth proportional to 450.80, 675.84 and 177.08 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.80 : 675.84 = 177.08 : x
  2. Step 2: Convert to fraction form
    450.80/675.84 = 177.08/x
  3. Step 3: Cross multiply
    450.80x = 675.84 × 177.08
  4. Step 4: Simplify right side
    450.80x = 119,677.75
  5. Step 5: Solve for x
    x = 119,677.75/450.80
  6. Step 6: Final answer
    x = 265.48

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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.