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Finding the Fourth Proportional to 243.68, 336.32 and 150.40

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Solution

The fourth proportional to 243.68, 336.32 and 150.40 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 336.32 = 150.40 : x
  2. Step 2: Convert to fraction form
    243.68/336.32 = 150.40/x
  3. Step 3: Cross multiply
    243.68x = 336.32 × 150.40
  4. Step 4: Simplify right side
    243.68x = 50,582.53
  5. Step 5: Solve for x
    x = 50,582.53/243.68
  6. Step 6: Final answer
    x = 207.58

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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.