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Finding the Fourth Proportional to 193.64, 267.17 and 152.06

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Solution

The fourth proportional to 193.64, 267.17 and 152.06 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 267.17 = 152.06 : x
  2. Step 2: Convert to fraction form
    193.64/267.17 = 152.06/x
  3. Step 3: Cross multiply
    193.64x = 267.17 × 152.06
  4. Step 4: Simplify right side
    193.64x = 40,623.77
  5. Step 5: Solve for x
    x = 40,623.77/193.64
  6. Step 6: Final answer
    x = 209.80

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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.