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Finding the Fourth Proportional to 292.81, 438.85 and 162.70

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Solution

The fourth proportional to 292.81, 438.85 and 162.70 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.81 : 438.85 = 162.70 : x
  2. Step 2: Convert to fraction form
    292.81/438.85 = 162.70/x
  3. Step 3: Cross multiply
    292.81x = 438.85 × 162.70
  4. Step 4: Simplify right side
    292.81x = 71,400.90
  5. Step 5: Solve for x
    x = 71,400.90/292.81
  6. Step 6: Final answer
    x = 243.85

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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.