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Finding the Fourth Proportional to 292.29, 438.48 and 97.23

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Solution

The fourth proportional to 292.29, 438.48 and 97.23 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.29 : 438.48 = 97.23 : x
  2. Step 2: Convert to fraction form
    292.29/438.48 = 97.23/x
  3. Step 3: Cross multiply
    292.29x = 438.48 × 97.23
  4. Step 4: Simplify right side
    292.29x = 42,633.41
  5. Step 5: Solve for x
    x = 42,633.41/292.29
  6. Step 6: Final answer
    x = 145.86

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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.