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Finding the Fourth Proportional to 175.50, 240.57 and 175.16

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Solution

The fourth proportional to 175.50, 240.57 and 175.16 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 240.57 = 175.16 : x
  2. Step 2: Convert to fraction form
    175.50/240.57 = 175.16/x
  3. Step 3: Cross multiply
    175.50x = 240.57 × 175.16
  4. Step 4: Simplify right side
    175.50x = 42,138.84
  5. Step 5: Solve for x
    x = 42,138.84/175.50
  6. Step 6: Final answer
    x = 240.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.