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Finding the Fourth Proportional to 175.60, 242.37 and 120.32

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Solution

The fourth proportional to 175.60, 242.37 and 120.32 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 242.37 = 120.32 : x
  2. Step 2: Convert to fraction form
    175.60/242.37 = 120.32/x
  3. Step 3: Cross multiply
    175.60x = 242.37 × 120.32
  4. Step 4: Simplify right side
    175.60x = 29,161.96
  5. Step 5: Solve for x
    x = 29,161.96/175.60
  6. Step 6: Final answer
    x = 166.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.