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Finding the Fourth Proportional to 175.04, 241.28 and 136.24

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Solution

The fourth proportional to 175.04, 241.28 and 136.24 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.04 : 241.28 = 136.24 : x
  2. Step 2: Convert to fraction form
    175.04/241.28 = 136.24/x
  3. Step 3: Cross multiply
    175.04x = 241.28 × 136.24
  4. Step 4: Simplify right side
    175.04x = 32,871.99
  5. Step 5: Solve for x
    x = 32,871.99/175.04
  6. Step 6: Final answer
    x = 187.80

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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.