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Finding the Fourth Proportional to 592.62, 888.98 and 181.78

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Solution

The fourth proportional to 592.62, 888.98 and 181.78 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 888.98 = 181.78 : x
  2. Step 2: Convert to fraction form
    592.62/888.98 = 181.78/x
  3. Step 3: Cross multiply
    592.62x = 888.98 × 181.78
  4. Step 4: Simplify right side
    592.62x = 161,595.65
  5. Step 5: Solve for x
    x = 161,595.65/592.62
  6. Step 6: Final answer
    x = 272.68

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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.