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Finding the Fourth Proportional to 234.66, 324.02 and 147.36

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Solution

The fourth proportional to 234.66, 324.02 and 147.36 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 324.02 = 147.36 : x
  2. Step 2: Convert to fraction form
    234.66/324.02 = 147.36/x
  3. Step 3: Cross multiply
    234.66x = 324.02 × 147.36
  4. Step 4: Simplify right side
    234.66x = 47,746.85
  5. Step 5: Solve for x
    x = 47,746.85/234.66
  6. Step 6: Final answer
    x = 203.47

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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.