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Finding the Fourth Proportional to 690.12, 1,035.17 and 177.12

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Solution

The fourth proportional to 690.12, 1,035.17 and 177.12 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 1,035.17 = 177.12 : x
  2. Step 2: Convert to fraction form
    690.12/1,035.17 = 177.12/x
  3. Step 3: Cross multiply
    690.12x = 1,035.17 × 177.12
  4. Step 4: Simplify right side
    690.12x = 183,350.09
  5. Step 5: Solve for x
    x = 183,350.09/690.12
  6. Step 6: Final answer
    x = 265.68

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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.