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Finding the Fourth Proportional to 202.32, 301.06 and 188.72

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Solution

The fourth proportional to 202.32, 301.06 and 188.72 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 301.06 = 188.72 : x
  2. Step 2: Convert to fraction form
    202.32/301.06 = 188.72/x
  3. Step 3: Cross multiply
    202.32x = 301.06 × 188.72
  4. Step 4: Simplify right side
    202.32x = 56,816.04
  5. Step 5: Solve for x
    x = 56,816.04/202.32
  6. Step 6: Final answer
    x = 280.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.