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Finding the Fourth Proportional to 292.17, 438.20 and 75.73

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Solution

The fourth proportional to 292.17, 438.20 and 75.73 is: 113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 438.20 = 75.73 : x
  2. Step 2: Convert to fraction form
    292.17/438.20 = 75.73/x
  3. Step 3: Cross multiply
    292.17x = 438.20 × 75.73
  4. Step 4: Simplify right side
    292.17x = 33,184.51
  5. Step 5: Solve for x
    x = 33,184.51/292.17
  6. Step 6: Final answer
    x = 113.58

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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.