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Finding the Fourth Proportional to 195.74, 270.18 and 152.24

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Solution

The fourth proportional to 195.74, 270.18 and 152.24 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.74 : 270.18 = 152.24 : x
  2. Step 2: Convert to fraction form
    195.74/270.18 = 152.24/x
  3. Step 3: Cross multiply
    195.74x = 270.18 × 152.24
  4. Step 4: Simplify right side
    195.74x = 41,132.20
  5. Step 5: Solve for x
    x = 41,132.20/195.74
  6. Step 6: Final answer
    x = 210.14

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Why These Related Problems?

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