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Finding the Fourth Proportional to 285.39, 427.10 and 175.66

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Solution

The fourth proportional to 285.39, 427.10 and 175.66 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.39 : 427.10 = 175.66 : x
  2. Step 2: Convert to fraction form
    285.39/427.10 = 175.66/x
  3. Step 3: Cross multiply
    285.39x = 427.10 × 175.66
  4. Step 4: Simplify right side
    285.39x = 75,024.39
  5. Step 5: Solve for x
    x = 75,024.39/285.39
  6. Step 6: Final answer
    x = 262.88

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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.