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Finding the Fourth Proportional to 263.64, 363.81 and 148.53

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Solution

The fourth proportional to 263.64, 363.81 and 148.53 is: 204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 363.81 = 148.53 : x
  2. Step 2: Convert to fraction form
    263.64/363.81 = 148.53/x
  3. Step 3: Cross multiply
    263.64x = 363.81 × 148.53
  4. Step 4: Simplify right side
    263.64x = 54,036.70
  5. Step 5: Solve for x
    x = 54,036.70/263.64
  6. Step 6: Final answer
    x = 204.96

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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.