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Finding the Fourth Proportional to 292.92, 438.96 and 128.19

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Solution

The fourth proportional to 292.92, 438.96 and 128.19 is: 192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 438.96 = 128.19 : x
  2. Step 2: Convert to fraction form
    292.92/438.96 = 128.19/x
  3. Step 3: Cross multiply
    292.92x = 438.96 × 128.19
  4. Step 4: Simplify right side
    292.92x = 56,270.28
  5. Step 5: Solve for x
    x = 56,270.28/292.92
  6. Step 6: Final answer
    x = 192.10

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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.