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Finding the Fourth Proportional to 175.55, 242.18 and 123.83

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Solution

The fourth proportional to 175.55, 242.18 and 123.83 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.55 : 242.18 = 123.83 : x
  2. Step 2: Convert to fraction form
    175.55/242.18 = 123.83/x
  3. Step 3: Cross multiply
    175.55x = 242.18 × 123.83
  4. Step 4: Simplify right side
    175.55x = 29,987.32
  5. Step 5: Solve for x
    x = 29,987.32/175.55
  6. Step 6: Final answer
    x = 170.82

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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.