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Finding the Fourth Proportional to 243.30, 364.55 and 171.03

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Solution

The fourth proportional to 243.30, 364.55 and 171.03 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 364.55 = 171.03 : x
  2. Step 2: Convert to fraction form
    243.30/364.55 = 171.03/x
  3. Step 3: Cross multiply
    243.30x = 364.55 × 171.03
  4. Step 4: Simplify right side
    243.30x = 62,348.13
  5. Step 5: Solve for x
    x = 62,348.13/243.30
  6. Step 6: Final answer
    x = 256.26

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