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Finding the Fourth Proportional to 152.95, 229.14 and 120.30

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Solution

The fourth proportional to 152.95, 229.14 and 120.30 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.95 : 229.14 = 120.30 : x
  2. Step 2: Convert to fraction form
    152.95/229.14 = 120.30/x
  3. Step 3: Cross multiply
    152.95x = 229.14 × 120.30
  4. Step 4: Simplify right side
    152.95x = 27,565.54
  5. Step 5: Solve for x
    x = 27,565.54/152.95
  6. Step 6: Final answer
    x = 180.23

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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.