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Finding the Fourth Proportional to 178.04, 245.69 and 109.04

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Solution

The fourth proportional to 178.04, 245.69 and 109.04 is: 150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 245.69 = 109.04 : x
  2. Step 2: Convert to fraction form
    178.04/245.69 = 109.04/x
  3. Step 3: Cross multiply
    178.04x = 245.69 × 109.04
  4. Step 4: Simplify right side
    178.04x = 26,788.26
  5. Step 5: Solve for x
    x = 26,788.26/178.04
  6. Step 6: Final answer
    x = 150.47

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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.