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Finding the Fourth Proportional to 202.72, 302.59 and 187.67

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Solution

The fourth proportional to 202.72, 302.59 and 187.67 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 302.59 = 187.67 : x
  2. Step 2: Convert to fraction form
    202.72/302.59 = 187.67/x
  3. Step 3: Cross multiply
    202.72x = 302.59 × 187.67
  4. Step 4: Simplify right side
    202.72x = 56,785.08
  5. Step 5: Solve for x
    x = 56,785.08/202.72
  6. Step 6: Final answer
    x = 280.12

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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.