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Finding the Fourth Proportional to 178.06, 245.74 and 104.40

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Solution

The fourth proportional to 178.06, 245.74 and 104.40 is: 144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 245.74 = 104.40 : x
  2. Step 2: Convert to fraction form
    178.06/245.74 = 104.40/x
  3. Step 3: Cross multiply
    178.06x = 245.74 × 104.40
  4. Step 4: Simplify right side
    178.06x = 25,655.26
  5. Step 5: Solve for x
    x = 25,655.26/178.06
  6. Step 6: Final answer
    x = 144.08

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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.