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Finding the Fourth Proportional to 397.08, 595.65 and 123.18

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Solution

The fourth proportional to 397.08, 595.65 and 123.18 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 595.65 = 123.18 : x
  2. Step 2: Convert to fraction form
    397.08/595.65 = 123.18/x
  3. Step 3: Cross multiply
    397.08x = 595.65 × 123.18
  4. Step 4: Simplify right side
    397.08x = 73,372.17
  5. Step 5: Solve for x
    x = 73,372.17/397.08
  6. Step 6: Final answer
    x = 184.78

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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.