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Finding the Fourth Proportional to 374.63, 562.09 and 179.72

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Solution

The fourth proportional to 374.63, 562.09 and 179.72 is: 269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 562.09 = 179.72 : x
  2. Step 2: Convert to fraction form
    374.63/562.09 = 179.72/x
  3. Step 3: Cross multiply
    374.63x = 562.09 × 179.72
  4. Step 4: Simplify right side
    374.63x = 101,015.56
  5. Step 5: Solve for x
    x = 101,015.56/374.63
  6. Step 6: Final answer
    x = 269.64

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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.