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Finding the Fourth Proportional to 592.45, 888.75 and 181.52

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Solution

The fourth proportional to 592.45, 888.75 and 181.52 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.45 : 888.75 = 181.52 : x
  2. Step 2: Convert to fraction form
    592.45/888.75 = 181.52/x
  3. Step 3: Cross multiply
    592.45x = 888.75 × 181.52
  4. Step 4: Simplify right side
    592.45x = 161,321.46
  5. Step 5: Solve for x
    x = 161,321.46/592.45
  6. Step 6: Final answer
    x = 272.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.