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Finding the Fourth Proportional to 302, 416.96 and 202.56

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Solution

The fourth proportional to 302, 416.96 and 202.56 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.96 = 202.56 : x
  2. Step 2: Convert to fraction form
    302/416.96 = 202.56/x
  3. Step 3: Cross multiply
    302x = 416.96 × 202.56
  4. Step 4: Simplify right side
    302x = 84,459.42
  5. Step 5: Solve for x
    x = 84,459.42/302
  6. Step 6: Final answer
    x = 279.67

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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.