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Finding the Fourth Proportional to 302.82, 417.80 and 178.53

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Solution

The fourth proportional to 302.82, 417.80 and 178.53 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.82 : 417.80 = 178.53 : x
  2. Step 2: Convert to fraction form
    302.82/417.80 = 178.53/x
  3. Step 3: Cross multiply
    302.82x = 417.80 × 178.53
  4. Step 4: Simplify right side
    302.82x = 74,589.83
  5. Step 5: Solve for x
    x = 74,589.83/302.82
  6. Step 6: Final answer
    x = 246.32

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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.