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Finding the Fourth Proportional to 377.58, 566.16 and 121.08

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Solution

The fourth proportional to 377.58, 566.16 and 121.08 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 566.16 = 121.08 : x
  2. Step 2: Convert to fraction form
    377.58/566.16 = 121.08/x
  3. Step 3: Cross multiply
    377.58x = 566.16 × 121.08
  4. Step 4: Simplify right side
    377.58x = 68,550.65
  5. Step 5: Solve for x
    x = 68,550.65/377.58
  6. Step 6: Final answer
    x = 181.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.