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Finding the Fourth Proportional to 374.52, 561.60 and 179.46

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Solution

The fourth proportional to 374.52, 561.60 and 179.46 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 561.60 = 179.46 : x
  2. Step 2: Convert to fraction form
    374.52/561.60 = 179.46/x
  3. Step 3: Cross multiply
    374.52x = 561.60 × 179.46
  4. Step 4: Simplify right side
    374.52x = 100,784.74
  5. Step 5: Solve for x
    x = 100,784.74/374.52
  6. Step 6: Final answer
    x = 269.10

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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.