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Finding the Fourth Proportional to 292.77, 438.77 and 119.23

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Solution

The fourth proportional to 292.77, 438.77 and 119.23 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.77 : 438.77 = 119.23 : x
  2. Step 2: Convert to fraction form
    292.77/438.77 = 119.23/x
  3. Step 3: Cross multiply
    292.77x = 438.77 × 119.23
  4. Step 4: Simplify right side
    292.77x = 52,314.55
  5. Step 5: Solve for x
    x = 52,314.55/292.77
  6. Step 6: Final answer
    x = 178.69

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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.