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Finding the Fourth Proportional to 375.08, 562.32 and 179.98

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Solution

The fourth proportional to 375.08, 562.32 and 179.98 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.08 : 562.32 = 179.98 : x
  2. Step 2: Convert to fraction form
    375.08/562.32 = 179.98/x
  3. Step 3: Cross multiply
    375.08x = 562.32 × 179.98
  4. Step 4: Simplify right side
    375.08x = 101,206.35
  5. Step 5: Solve for x
    x = 101,206.35/375.08
  6. Step 6: Final answer
    x = 269.83

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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.