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Finding the Fourth Proportional to 175.32, 262.52 and 138.84

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Solution

The fourth proportional to 175.32, 262.52 and 138.84 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.32 : 262.52 = 138.84 : x
  2. Step 2: Convert to fraction form
    175.32/262.52 = 138.84/x
  3. Step 3: Cross multiply
    175.32x = 262.52 × 138.84
  4. Step 4: Simplify right side
    175.32x = 36,448.28
  5. Step 5: Solve for x
    x = 36,448.28/175.32
  6. Step 6: Final answer
    x = 207.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.