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Finding the Fourth Proportional to 209.74, 314.62 and 146.02

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Solution

The fourth proportional to 209.74, 314.62 and 146.02 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 314.62 = 146.02 : x
  2. Step 2: Convert to fraction form
    209.74/314.62 = 146.02/x
  3. Step 3: Cross multiply
    209.74x = 314.62 × 146.02
  4. Step 4: Simplify right side
    209.74x = 45,940.81
  5. Step 5: Solve for x
    x = 45,940.81/209.74
  6. Step 6: Final answer
    x = 219.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.