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Finding the Fourth Proportional to 193.76, 291.69 and 177.02

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Solution

The fourth proportional to 193.76, 291.69 and 177.02 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.76 : 291.69 = 177.02 : x
  2. Step 2: Convert to fraction form
    193.76/291.69 = 177.02/x
  3. Step 3: Cross multiply
    193.76x = 291.69 × 177.02
  4. Step 4: Simplify right side
    193.76x = 51,634.96
  5. Step 5: Solve for x
    x = 51,634.96/193.76
  6. Step 6: Final answer
    x = 266.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.