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Finding the Fourth Proportional to 277.52, 382.76 and 184.10

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Solution

The fourth proportional to 277.52, 382.76 and 184.10 is: 253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 382.76 = 184.10 : x
  2. Step 2: Convert to fraction form
    277.52/382.76 = 184.10/x
  3. Step 3: Cross multiply
    277.52x = 382.76 × 184.10
  4. Step 4: Simplify right side
    277.52x = 70,466.12
  5. Step 5: Solve for x
    x = 70,466.12/277.52
  6. Step 6: Final answer
    x = 253.91

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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.