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Finding the Fourth Proportional to 202, 302.96 and 57.68

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Solution

The fourth proportional to 202, 302.96 and 57.68 is: 86.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 302.96 = 57.68 : x
  2. Step 2: Convert to fraction form
    202/302.96 = 57.68/x
  3. Step 3: Cross multiply
    202x = 302.96 × 57.68
  4. Step 4: Simplify right side
    202x = 17,474.73
  5. Step 5: Solve for x
    x = 17,474.73/202
  6. Step 6: Final answer
    x = 86.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.