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Finding the Fourth Proportional to 243.08, 364.69 and 134.95

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Solution

The fourth proportional to 243.08, 364.69 and 134.95 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.08 : 364.69 = 134.95 : x
  2. Step 2: Convert to fraction form
    243.08/364.69 = 134.95/x
  3. Step 3: Cross multiply
    243.08x = 364.69 × 134.95
  4. Step 4: Simplify right side
    243.08x = 49,212.75
  5. Step 5: Solve for x
    x = 49,212.75/243.08
  6. Step 6: Final answer
    x = 202.45

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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.