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Finding the Fourth Proportional to 193.80, 267.56 and 152.25

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Solution

The fourth proportional to 193.80, 267.56 and 152.25 is: 210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 267.56 = 152.25 : x
  2. Step 2: Convert to fraction form
    193.80/267.56 = 152.25/x
  3. Step 3: Cross multiply
    193.80x = 267.56 × 152.25
  4. Step 4: Simplify right side
    193.80x = 40,736.01
  5. Step 5: Solve for x
    x = 40,736.01/193.80
  6. Step 6: Final answer
    x = 210.20

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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.