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Finding the Fourth Proportional to 199.64, 275.38 and 175.08

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Solution

The fourth proportional to 199.64, 275.38 and 175.08 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.64 : 275.38 = 175.08 : x
  2. Step 2: Convert to fraction form
    199.64/275.38 = 175.08/x
  3. Step 3: Cross multiply
    199.64x = 275.38 × 175.08
  4. Step 4: Simplify right side
    199.64x = 48,213.53
  5. Step 5: Solve for x
    x = 48,213.53/199.64
  6. Step 6: Final answer
    x = 241.50

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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.