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Finding the Fourth Proportional to 243.42, 364.80 and 111.48

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Solution

The fourth proportional to 243.42, 364.80 and 111.48 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 364.80 = 111.48 : x
  2. Step 2: Convert to fraction form
    243.42/364.80 = 111.48/x
  3. Step 3: Cross multiply
    243.42x = 364.80 × 111.48
  4. Step 4: Simplify right side
    243.42x = 40,666.95
  5. Step 5: Solve for x
    x = 40,666.95/243.42
  6. Step 6: Final answer
    x = 167.06

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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.