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Finding the Fourth Proportional to 253.46, 349.71 and 148.52

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Solution

The fourth proportional to 253.46, 349.71 and 148.52 is: 204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.46 : 349.71 = 148.52 : x
  2. Step 2: Convert to fraction form
    253.46/349.71 = 148.52/x
  3. Step 3: Cross multiply
    253.46x = 349.71 × 148.52
  4. Step 4: Simplify right side
    253.46x = 51,938.93
  5. Step 5: Solve for x
    x = 51,938.93/253.46
  6. Step 6: Final answer
    x = 204.92

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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.