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Finding the Fourth Proportional to 292.70, 438.18 and 189.68

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Solution

The fourth proportional to 292.70, 438.18 and 189.68 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 438.18 = 189.68 : x
  2. Step 2: Convert to fraction form
    292.70/438.18 = 189.68/x
  3. Step 3: Cross multiply
    292.70x = 438.18 × 189.68
  4. Step 4: Simplify right side
    292.70x = 83,113.98
  5. Step 5: Solve for x
    x = 83,113.98/292.70
  6. Step 6: Final answer
    x = 283.96

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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.