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Finding the Fourth Proportional to 302.56, 417.52 and 178.23

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Solution

The fourth proportional to 302.56, 417.52 and 178.23 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 417.52 = 178.23 : x
  2. Step 2: Convert to fraction form
    302.56/417.52 = 178.23/x
  3. Step 3: Cross multiply
    302.56x = 417.52 × 178.23
  4. Step 4: Simplify right side
    302.56x = 74,412.86
  5. Step 5: Solve for x
    x = 74,412.86/302.56
  6. Step 6: Final answer
    x = 245.95

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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.