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Finding the Fourth Proportional to 292.95, 439.40 and 119.70

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Solution

The fourth proportional to 292.95, 439.40 and 119.70 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.95 : 439.40 = 119.70 : x
  2. Step 2: Convert to fraction form
    292.95/439.40 = 119.70/x
  3. Step 3: Cross multiply
    292.95x = 439.40 × 119.70
  4. Step 4: Simplify right side
    292.95x = 52,595.58
  5. Step 5: Solve for x
    x = 52,595.58/292.95
  6. Step 6: Final answer
    x = 179.54

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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.