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Finding the Fourth Proportional to 242.65, 364.31 and 160.40

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Solution

The fourth proportional to 242.65, 364.31 and 160.40 is: 240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.65 : 364.31 = 160.40 : x
  2. Step 2: Convert to fraction form
    242.65/364.31 = 160.40/x
  3. Step 3: Cross multiply
    242.65x = 364.31 × 160.40
  4. Step 4: Simplify right side
    242.65x = 58,435.32
  5. Step 5: Solve for x
    x = 58,435.32/242.65
  6. Step 6: Final answer
    x = 240.82

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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.