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Finding the Fourth Proportional to 156.38, 215.54 and 133.13

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Solution

The fourth proportional to 156.38, 215.54 and 133.13 is: 183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.38 : 215.54 = 133.13 : x
  2. Step 2: Convert to fraction form
    156.38/215.54 = 133.13/x
  3. Step 3: Cross multiply
    156.38x = 215.54 × 133.13
  4. Step 4: Simplify right side
    156.38x = 28,693.76
  5. Step 5: Solve for x
    x = 28,693.76/156.38
  6. Step 6: Final answer
    x = 183.49

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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.