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Finding the Fourth Proportional to 377.06, 565.66 and 120.50

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Solution

The fourth proportional to 377.06, 565.66 and 120.50 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 565.66 = 120.50 : x
  2. Step 2: Convert to fraction form
    377.06/565.66 = 120.50/x
  3. Step 3: Cross multiply
    377.06x = 565.66 × 120.50
  4. Step 4: Simplify right side
    377.06x = 68,162.03
  5. Step 5: Solve for x
    x = 68,162.03/377.06
  6. Step 6: Final answer
    x = 180.77

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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.