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Finding the Fourth Proportional to 193.32, 266.74 and 135.24

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Solution

The fourth proportional to 193.32, 266.74 and 135.24 is: 186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 266.74 = 135.24 : x
  2. Step 2: Convert to fraction form
    193.32/266.74 = 135.24/x
  3. Step 3: Cross multiply
    193.32x = 266.74 × 135.24
  4. Step 4: Simplify right side
    193.32x = 36,073.92
  5. Step 5: Solve for x
    x = 36,073.92/193.32
  6. Step 6: Final answer
    x = 186.60

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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.