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Finding the Fourth Proportional to 277.24, 382.61 and 152.92

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Solution

The fourth proportional to 277.24, 382.61 and 152.92 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 382.61 = 152.92 : x
  2. Step 2: Convert to fraction form
    277.24/382.61 = 152.92/x
  3. Step 3: Cross multiply
    277.24x = 382.61 × 152.92
  4. Step 4: Simplify right side
    277.24x = 58,510.06
  5. Step 5: Solve for x
    x = 58,510.06/277.24
  6. Step 6: Final answer
    x = 211.05

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Why These Related Problems?

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