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Finding the Fourth Proportional to 156.86, 217.49 and 148.65

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Solution

The fourth proportional to 156.86, 217.49 and 148.65 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 217.49 = 148.65 : x
  2. Step 2: Convert to fraction form
    156.86/217.49 = 148.65/x
  3. Step 3: Cross multiply
    156.86x = 217.49 × 148.65
  4. Step 4: Simplify right side
    156.86x = 32,329.15
  5. Step 5: Solve for x
    x = 32,329.15/156.86
  6. Step 6: Final answer
    x = 206.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.