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Finding the Fourth Proportional to 156.04, 232.56 and 154.78

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Solution

The fourth proportional to 156.04, 232.56 and 154.78 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.04 : 232.56 = 154.78 : x
  2. Step 2: Convert to fraction form
    156.04/232.56 = 154.78/x
  3. Step 3: Cross multiply
    156.04x = 232.56 × 154.78
  4. Step 4: Simplify right side
    156.04x = 35,995.64
  5. Step 5: Solve for x
    x = 35,995.64/156.04
  6. Step 6: Final answer
    x = 230.68

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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.