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Finding the Fourth Proportional to 184.66, 256.61 and 182.36

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Solution

The fourth proportional to 184.66, 256.61 and 182.36 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 256.61 = 182.36 : x
  2. Step 2: Convert to fraction form
    184.66/256.61 = 182.36/x
  3. Step 3: Cross multiply
    184.66x = 256.61 × 182.36
  4. Step 4: Simplify right side
    184.66x = 46,795.40
  5. Step 5: Solve for x
    x = 46,795.40/184.66
  6. Step 6: Final answer
    x = 253.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.