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Finding the Fourth Proportional to 164.33, 245.38 and 147.02

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Solution

The fourth proportional to 164.33, 245.38 and 147.02 is: 219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 245.38 = 147.02 : x
  2. Step 2: Convert to fraction form
    164.33/245.38 = 147.02/x
  3. Step 3: Cross multiply
    164.33x = 245.38 × 147.02
  4. Step 4: Simplify right side
    164.33x = 36,074.45
  5. Step 5: Solve for x
    x = 36,074.45/164.33
  6. Step 6: Final answer
    x = 219.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.