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Finding the Fourth Proportional to 397.18, 595.69 and 123.20

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Solution

The fourth proportional to 397.18, 595.69 and 123.20 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.18 : 595.69 = 123.20 : x
  2. Step 2: Convert to fraction form
    397.18/595.69 = 123.20/x
  3. Step 3: Cross multiply
    397.18x = 595.69 × 123.20
  4. Step 4: Simplify right side
    397.18x = 73,390.19
  5. Step 5: Solve for x
    x = 73,390.19/397.18
  6. Step 6: Final answer
    x = 184.78

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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.