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Finding the Fourth Proportional to 175.74, 264.96 and 148.88

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Solution

The fourth proportional to 175.74, 264.96 and 148.88 is: 224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 264.96 = 148.88 : x
  2. Step 2: Convert to fraction form
    175.74/264.96 = 148.88/x
  3. Step 3: Cross multiply
    175.74x = 264.96 × 148.88
  4. Step 4: Simplify right side
    175.74x = 39,447.24
  5. Step 5: Solve for x
    x = 39,447.24/175.74
  6. Step 6: Final answer
    x = 224.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.