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Finding the Fourth Proportional to 199.10, 297.49 and 174.40

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Solution

The fourth proportional to 199.10, 297.49 and 174.40 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 297.49 = 174.40 : x
  2. Step 2: Convert to fraction form
    199.10/297.49 = 174.40/x
  3. Step 3: Cross multiply
    199.10x = 297.49 × 174.40
  4. Step 4: Simplify right side
    199.10x = 51,882.26
  5. Step 5: Solve for x
    x = 51,882.26/199.10
  6. Step 6: Final answer
    x = 260.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.