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Finding the Fourth Proportional to 178.30, 245.77 and 141.40

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Solution

The fourth proportional to 178.30, 245.77 and 141.40 is: 194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 245.77 = 141.40 : x
  2. Step 2: Convert to fraction form
    178.30/245.77 = 141.40/x
  3. Step 3: Cross multiply
    178.30x = 245.77 × 141.40
  4. Step 4: Simplify right side
    178.30x = 34,751.88
  5. Step 5: Solve for x
    x = 34,751.88/178.30
  6. Step 6: Final answer
    x = 194.91

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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.