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Finding the Fourth Proportional to 148.65, 223 and 57.34

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Solution

The fourth proportional to 148.65, 223 and 57.34 is: 86.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.65 : 223 = 57.34 : x
  2. Step 2: Convert to fraction form
    148.65/223 = 57.34/x
  3. Step 3: Cross multiply
    148.65x = 223 × 57.34
  4. Step 4: Simplify right side
    148.65x = 12,786.82
  5. Step 5: Solve for x
    x = 12,786.82/148.65
  6. Step 6: Final answer
    x = 86.02

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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.