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Finding the Fourth Proportional to 175.58, 242.04 and 120.23

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Solution

The fourth proportional to 175.58, 242.04 and 120.23 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.58 : 242.04 = 120.23 : x
  2. Step 2: Convert to fraction form
    175.58/242.04 = 120.23/x
  3. Step 3: Cross multiply
    175.58x = 242.04 × 120.23
  4. Step 4: Simplify right side
    175.58x = 29,099.26
  5. Step 5: Solve for x
    x = 29,099.26/175.58
  6. Step 6: Final answer
    x = 165.74

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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.