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Finding the Fourth Proportional to 538.56, 807.92 and 153.81

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Solution

The fourth proportional to 538.56, 807.92 and 153.81 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 807.92 = 153.81 : x
  2. Step 2: Convert to fraction form
    538.56/807.92 = 153.81/x
  3. Step 3: Cross multiply
    538.56x = 807.92 × 153.81
  4. Step 4: Simplify right side
    538.56x = 124,266.18
  5. Step 5: Solve for x
    x = 124,266.18/538.56
  6. Step 6: Final answer
    x = 230.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.