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Finding the Fourth Proportional to 152.85, 210.81 and 120.18

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Solution

The fourth proportional to 152.85, 210.81 and 120.18 is: 165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.85 : 210.81 = 120.18 : x
  2. Step 2: Convert to fraction form
    152.85/210.81 = 120.18/x
  3. Step 3: Cross multiply
    152.85x = 210.81 × 120.18
  4. Step 4: Simplify right side
    152.85x = 25,335.15
  5. Step 5: Solve for x
    x = 25,335.15/152.85
  6. Step 6: Final answer
    x = 165.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.