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Finding the Fourth Proportional to 374.88, 562 and 182.40

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Solution

The fourth proportional to 374.88, 562 and 182.40 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 562 = 182.40 : x
  2. Step 2: Convert to fraction form
    374.88/562 = 182.40/x
  3. Step 3: Cross multiply
    374.88x = 562 × 182.40
  4. Step 4: Simplify right side
    374.88x = 102,508.80
  5. Step 5: Solve for x
    x = 102,508.80/374.88
  6. Step 6: Final answer
    x = 273.44

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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.