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Finding the Fourth Proportional to 193.47, 267.08 and 135.15

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Solution

The fourth proportional to 193.47, 267.08 and 135.15 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.47 : 267.08 = 135.15 : x
  2. Step 2: Convert to fraction form
    193.47/267.08 = 135.15/x
  3. Step 3: Cross multiply
    193.47x = 267.08 × 135.15
  4. Step 4: Simplify right side
    193.47x = 36,095.19
  5. Step 5: Solve for x
    x = 36,095.19/193.47
  6. Step 6: Final answer
    x = 186.57

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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.