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Finding the Fourth Proportional to 209.99, 314.91 and 100.32

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Solution

The fourth proportional to 209.99, 314.91 and 100.32 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 314.91 = 100.32 : x
  2. Step 2: Convert to fraction form
    209.99/314.91 = 100.32/x
  3. Step 3: Cross multiply
    209.99x = 314.91 × 100.32
  4. Step 4: Simplify right side
    209.99x = 31,591.77
  5. Step 5: Solve for x
    x = 31,591.77/209.99
  6. Step 6: Final answer
    x = 150.45

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