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Finding the Fourth Proportional to 465.38, 697.90 and 157.18

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Solution

The fourth proportional to 465.38, 697.90 and 157.18 is: 235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 697.90 = 157.18 : x
  2. Step 2: Convert to fraction form
    465.38/697.90 = 157.18/x
  3. Step 3: Cross multiply
    465.38x = 697.90 × 157.18
  4. Step 4: Simplify right side
    465.38x = 109,691.65
  5. Step 5: Solve for x
    x = 109,691.65/465.38
  6. Step 6: Final answer
    x = 235.70

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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.