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Finding the Fourth Proportional to 287.56, 396.84 and 188.04

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Solution

The fourth proportional to 287.56, 396.84 and 188.04 is: 259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 396.84 = 188.04 : x
  2. Step 2: Convert to fraction form
    287.56/396.84 = 188.04/x
  3. Step 3: Cross multiply
    287.56x = 396.84 × 188.04
  4. Step 4: Simplify right side
    287.56x = 74,621.79
  5. Step 5: Solve for x
    x = 74,621.79/287.56
  6. Step 6: Final answer
    x = 259.50

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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.