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Finding the Fourth Proportional to 156.18, 232.92 and 133.50

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Solution

The fourth proportional to 156.18, 232.92 and 133.50 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.18 : 232.92 = 133.50 : x
  2. Step 2: Convert to fraction form
    156.18/232.92 = 133.50/x
  3. Step 3: Cross multiply
    156.18x = 232.92 × 133.50
  4. Step 4: Simplify right side
    156.18x = 31,094.82
  5. Step 5: Solve for x
    x = 31,094.82/156.18
  6. Step 6: Final answer
    x = 199.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.