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Finding the Fourth Proportional to 287.56, 396.84 and 156.57

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Solution

The fourth proportional to 287.56, 396.84 and 156.57 is: 216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 396.84 = 156.57 : x
  2. Step 2: Convert to fraction form
    287.56/396.84 = 156.57/x
  3. Step 3: Cross multiply
    287.56x = 396.84 × 156.57
  4. Step 4: Simplify right side
    287.56x = 62,133.24
  5. Step 5: Solve for x
    x = 62,133.24/287.56
  6. Step 6: Final answer
    x = 216.07

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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.