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Finding the Fourth Proportional to 287.14, 396.16 and 176.50

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Solution

The fourth proportional to 287.14, 396.16 and 176.50 is: 243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.14 : 396.16 = 176.50 : x
  2. Step 2: Convert to fraction form
    287.14/396.16 = 176.50/x
  3. Step 3: Cross multiply
    287.14x = 396.16 × 176.50
  4. Step 4: Simplify right side
    287.14x = 69,922.24
  5. Step 5: Solve for x
    x = 69,922.24/287.14
  6. Step 6: Final answer
    x = 243.51

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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.