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Finding the Fourth Proportional to 227.52, 313.76 and 148.76

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Solution

The fourth proportional to 227.52, 313.76 and 148.76 is: 205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 313.76 = 148.76 : x
  2. Step 2: Convert to fraction form
    227.52/313.76 = 148.76/x
  3. Step 3: Cross multiply
    227.52x = 313.76 × 148.76
  4. Step 4: Simplify right side
    227.52x = 46,672.63
  5. Step 5: Solve for x
    x = 46,672.63/227.52
  6. Step 6: Final answer
    x = 205.14

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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.