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Finding the Fourth Proportional to 242.98, 364.48 and 135.46

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Solution

The fourth proportional to 242.98, 364.48 and 135.46 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.98 : 364.48 = 135.46 : x
  2. Step 2: Convert to fraction form
    242.98/364.48 = 135.46/x
  3. Step 3: Cross multiply
    242.98x = 364.48 × 135.46
  4. Step 4: Simplify right side
    242.98x = 49,371.29
  5. Step 5: Solve for x
    x = 49,371.29/242.98
  6. Step 6: Final answer
    x = 203.19

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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.