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Finding the Fourth Proportional to 292.24, 439.16 and 211.60

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Solution

The fourth proportional to 292.24, 439.16 and 211.60 is: 317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 439.16 = 211.60 : x
  2. Step 2: Convert to fraction form
    292.24/439.16 = 211.60/x
  3. Step 3: Cross multiply
    292.24x = 439.16 × 211.60
  4. Step 4: Simplify right side
    292.24x = 92,926.26
  5. Step 5: Solve for x
    x = 92,926.26/292.24
  6. Step 6: Final answer
    x = 317.98

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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.