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Finding the Fourth Proportional to 243.34, 336.06 and 156.06

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Solution

The fourth proportional to 243.34, 336.06 and 156.06 is: 215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.34 : 336.06 = 156.06 : x
  2. Step 2: Convert to fraction form
    243.34/336.06 = 156.06/x
  3. Step 3: Cross multiply
    243.34x = 336.06 × 156.06
  4. Step 4: Simplify right side
    243.34x = 52,445.97
  5. Step 5: Solve for x
    x = 52,445.97/243.34
  6. Step 6: Final answer
    x = 215.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.