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Finding the Fourth Proportional to 243.38, 364.77 and 174.53

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Solution

The fourth proportional to 243.38, 364.77 and 174.53 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.38 : 364.77 = 174.53 : x
  2. Step 2: Convert to fraction form
    243.38/364.77 = 174.53/x
  3. Step 3: Cross multiply
    243.38x = 364.77 × 174.53
  4. Step 4: Simplify right side
    243.38x = 63,661.48
  5. Step 5: Solve for x
    x = 63,661.48/243.38
  6. Step 6: Final answer
    x = 261.58

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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.