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Finding the Fourth Proportional to 175.02, 262.57 and 117.24

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Solution

The fourth proportional to 175.02, 262.57 and 117.24 is: 175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.02 : 262.57 = 117.24 : x
  2. Step 2: Convert to fraction form
    175.02/262.57 = 117.24/x
  3. Step 3: Cross multiply
    175.02x = 262.57 × 117.24
  4. Step 4: Simplify right side
    175.02x = 30,783.12
  5. Step 5: Solve for x
    x = 30,783.12/175.02
  6. Step 6: Final answer
    x = 175.88

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Why These Related Problems?

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