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Finding the Fourth Proportional to 156.47, 215.83 and 115.13

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Solution

The fourth proportional to 156.47, 215.83 and 115.13 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 215.83 = 115.13 : x
  2. Step 2: Convert to fraction form
    156.47/215.83 = 115.13/x
  3. Step 3: Cross multiply
    156.47x = 215.83 × 115.13
  4. Step 4: Simplify right side
    156.47x = 24,847.14
  5. Step 5: Solve for x
    x = 24,847.14/156.47
  6. Step 6: Final answer
    x = 158.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.