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Finding the Fourth Proportional to 243.68, 364.76 and 135.20

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Solution

The fourth proportional to 243.68, 364.76 and 135.20 is: 202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 364.76 = 135.20 : x
  2. Step 2: Convert to fraction form
    243.68/364.76 = 135.20/x
  3. Step 3: Cross multiply
    243.68x = 364.76 × 135.20
  4. Step 4: Simplify right side
    243.68x = 49,315.55
  5. Step 5: Solve for x
    x = 49,315.55/243.68
  6. Step 6: Final answer
    x = 202.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.