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Finding the Fourth Proportional to 292.28, 438.18 and 162.32

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Solution

The fourth proportional to 292.28, 438.18 and 162.32 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.28 : 438.18 = 162.32 : x
  2. Step 2: Convert to fraction form
    292.28/438.18 = 162.32/x
  3. Step 3: Cross multiply
    292.28x = 438.18 × 162.32
  4. Step 4: Simplify right side
    292.28x = 71,122.58
  5. Step 5: Solve for x
    x = 71,122.58/292.28
  6. Step 6: Final answer
    x = 243.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.