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Finding the Fourth Proportional to 302.17, 416.92 and 177.84

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Solution

The fourth proportional to 302.17, 416.92 and 177.84 is: 245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 416.92 = 177.84 : x
  2. Step 2: Convert to fraction form
    302.17/416.92 = 177.84/x
  3. Step 3: Cross multiply
    302.17x = 416.92 × 177.84
  4. Step 4: Simplify right side
    302.17x = 74,145.05
  5. Step 5: Solve for x
    x = 74,145.05/302.17
  6. Step 6: Final answer
    x = 245.38

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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.