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Finding the Fourth Proportional to 228.31, 342.54 and 74.24

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Solution

The fourth proportional to 228.31, 342.54 and 74.24 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 342.54 = 74.24 : x
  2. Step 2: Convert to fraction form
    228.31/342.54 = 74.24/x
  3. Step 3: Cross multiply
    228.31x = 342.54 × 74.24
  4. Step 4: Simplify right side
    228.31x = 25,429.46
  5. Step 5: Solve for x
    x = 25,429.46/228.31
  6. Step 6: Final answer
    x = 111.38

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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.