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Finding the Fourth Proportional to 384.18, 575.94 and 167.59

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Solution

The fourth proportional to 384.18, 575.94 and 167.59 is: 251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.18 : 575.94 = 167.59 : x
  2. Step 2: Convert to fraction form
    384.18/575.94 = 167.59/x
  3. Step 3: Cross multiply
    384.18x = 575.94 × 167.59
  4. Step 4: Simplify right side
    384.18x = 96,521.78
  5. Step 5: Solve for x
    x = 96,521.78/384.18
  6. Step 6: Final answer
    x = 251.24

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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.