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Finding the Fourth Proportional to 302.45, 417.10 and 178.12

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Solution

The fourth proportional to 302.45, 417.10 and 178.12 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.45 : 417.10 = 178.12 : x
  2. Step 2: Convert to fraction form
    302.45/417.10 = 178.12/x
  3. Step 3: Cross multiply
    302.45x = 417.10 × 178.12
  4. Step 4: Simplify right side
    302.45x = 74,290.88
  5. Step 5: Solve for x
    x = 74,290.88/302.45
  6. Step 6: Final answer
    x = 245.63

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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.