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Finding the Fourth Proportional to 277.22, 382.55 and 152.87

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Solution

The fourth proportional to 277.22, 382.55 and 152.87 is: 210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 382.55 = 152.87 : x
  2. Step 2: Convert to fraction form
    277.22/382.55 = 152.87/x
  3. Step 3: Cross multiply
    277.22x = 382.55 × 152.87
  4. Step 4: Simplify right side
    277.22x = 58,479.65
  5. Step 5: Solve for x
    x = 58,479.65/277.22
  6. Step 6: Final answer
    x = 210.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.