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Finding the Fourth Proportional to 250.52, 374.90 and 186.04

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Solution

The fourth proportional to 250.52, 374.90 and 186.04 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.52 : 374.90 = 186.04 : x
  2. Step 2: Convert to fraction form
    250.52/374.90 = 186.04/x
  3. Step 3: Cross multiply
    250.52x = 374.90 × 186.04
  4. Step 4: Simplify right side
    250.52x = 69,746.40
  5. Step 5: Solve for x
    x = 69,746.40/250.52
  6. Step 6: Final answer
    x = 278.41

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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.