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Finding the Fourth Proportional to 302.90, 417.86 and 178.56

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Solution

The fourth proportional to 302.90, 417.86 and 178.56 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 417.86 = 178.56 : x
  2. Step 2: Convert to fraction form
    302.90/417.86 = 178.56/x
  3. Step 3: Cross multiply
    302.90x = 417.86 × 178.56
  4. Step 4: Simplify right side
    302.90x = 74,613.08
  5. Step 5: Solve for x
    x = 74,613.08/302.90
  6. Step 6: Final answer
    x = 246.33

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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.