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Finding the Fourth Proportional to 174.65, 260.51 and 148.74

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Solution

The fourth proportional to 174.65, 260.51 and 148.74 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 260.51 = 148.74 : x
  2. Step 2: Convert to fraction form
    174.65/260.51 = 148.74/x
  3. Step 3: Cross multiply
    174.65x = 260.51 × 148.74
  4. Step 4: Simplify right side
    174.65x = 38,747.51
  5. Step 5: Solve for x
    x = 38,747.51/174.65
  6. Step 6: Final answer
    x = 221.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.