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Finding the Fourth Proportional to 302.49, 417.38 and 178.16

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Solution

The fourth proportional to 302.49, 417.38 and 178.16 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.49 : 417.38 = 178.16 : x
  2. Step 2: Convert to fraction form
    302.49/417.38 = 178.16/x
  3. Step 3: Cross multiply
    302.49x = 417.38 × 178.16
  4. Step 4: Simplify right side
    302.49x = 74,357.44
  5. Step 5: Solve for x
    x = 74,357.44/302.49
  6. Step 6: Final answer
    x = 245.82

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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.