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Finding the Fourth Proportional to 193.46, 265.59 and 177.03

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Solution

The fourth proportional to 193.46, 265.59 and 177.03 is: 243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 265.59 = 177.03 : x
  2. Step 2: Convert to fraction form
    193.46/265.59 = 177.03/x
  3. Step 3: Cross multiply
    193.46x = 265.59 × 177.03
  4. Step 4: Simplify right side
    193.46x = 47,017.40
  5. Step 5: Solve for x
    x = 47,017.40/193.46
  6. Step 6: Final answer
    x = 243.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.