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Finding the Fourth Proportional to 377.76, 566.64 and 185.52

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Solution

The fourth proportional to 377.76, 566.64 and 185.52 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 566.64 = 185.52 : x
  2. Step 2: Convert to fraction form
    377.76/566.64 = 185.52/x
  3. Step 3: Cross multiply
    377.76x = 566.64 × 185.52
  4. Step 4: Simplify right side
    377.76x = 105,123.05
  5. Step 5: Solve for x
    x = 105,123.05/377.76
  6. Step 6: Final answer
    x = 278.28

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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.