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Finding the Fourth Proportional to 230.04, 345.02 and 149.46

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Solution

The fourth proportional to 230.04, 345.02 and 149.46 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 345.02 = 149.46 : x
  2. Step 2: Convert to fraction form
    230.04/345.02 = 149.46/x
  3. Step 3: Cross multiply
    230.04x = 345.02 × 149.46
  4. Step 4: Simplify right side
    230.04x = 51,566.69
  5. Step 5: Solve for x
    x = 51,566.69/230.04
  6. Step 6: Final answer
    x = 224.16

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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.