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Finding the Fourth Proportional to 175.82, 242.62 and 98.18

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Solution

The fourth proportional to 175.82, 242.62 and 98.18 is: 135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 242.62 = 98.18 : x
  2. Step 2: Convert to fraction form
    175.82/242.62 = 98.18/x
  3. Step 3: Cross multiply
    175.82x = 242.62 × 98.18
  4. Step 4: Simplify right side
    175.82x = 23,820.43
  5. Step 5: Solve for x
    x = 23,820.43/175.82
  6. Step 6: Final answer
    x = 135.48

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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.