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Finding the Fourth Proportional to 302.59, 417.52 and 178.26

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Solution

The fourth proportional to 302.59, 417.52 and 178.26 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.59 : 417.52 = 178.26 : x
  2. Step 2: Convert to fraction form
    302.59/417.52 = 178.26/x
  3. Step 3: Cross multiply
    302.59x = 417.52 × 178.26
  4. Step 4: Simplify right side
    302.59x = 74,427.12
  5. Step 5: Solve for x
    x = 74,427.12/302.59
  6. Step 6: Final answer
    x = 245.97

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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.