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Finding the Fourth Proportional to 253.15, 349.33 and 148.24

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Solution

The fourth proportional to 253.15, 349.33 and 148.24 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.15 : 349.33 = 148.24 : x
  2. Step 2: Convert to fraction form
    253.15/349.33 = 148.24/x
  3. Step 3: Cross multiply
    253.15x = 349.33 × 148.24
  4. Step 4: Simplify right side
    253.15x = 51,784.68
  5. Step 5: Solve for x
    x = 51,784.68/253.15
  6. Step 6: Final answer
    x = 204.56

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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.