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Finding the Fourth Proportional to 209.00, 288.14 and 146.90

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Solution

The fourth proportional to 209.00, 288.14 and 146.90 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.00 : 288.14 = 146.90 : x
  2. Step 2: Convert to fraction form
    209.00/288.14 = 146.90/x
  3. Step 3: Cross multiply
    209.00x = 288.14 × 146.90
  4. Step 4: Simplify right side
    209.00x = 42,325.59
  5. Step 5: Solve for x
    x = 42,325.59/209.00
  6. Step 6: Final answer
    x = 202.52

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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.