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Finding the Fourth Proportional to 292.48, 439.12 and 164.32

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Solution

The fourth proportional to 292.48, 439.12 and 164.32 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.48 : 439.12 = 164.32 : x
  2. Step 2: Convert to fraction form
    292.48/439.12 = 164.32/x
  3. Step 3: Cross multiply
    292.48x = 439.12 × 164.32
  4. Step 4: Simplify right side
    292.48x = 72,156.20
  5. Step 5: Solve for x
    x = 72,156.20/292.48
  6. Step 6: Final answer
    x = 246.70

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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.