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Finding the Fourth Proportional to 179.02, 246.98 and 109.06

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Solution

The fourth proportional to 179.02, 246.98 and 109.06 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.02 : 246.98 = 109.06 : x
  2. Step 2: Convert to fraction form
    179.02/246.98 = 109.06/x
  3. Step 3: Cross multiply
    179.02x = 246.98 × 109.06
  4. Step 4: Simplify right side
    179.02x = 26,934.63
  5. Step 5: Solve for x
    x = 26,934.63/179.02
  6. Step 6: Final answer
    x = 150.45

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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.