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Finding the Fourth Proportional to 209.21, 313.55 and 99.53

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Solution

The fourth proportional to 209.21, 313.55 and 99.53 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 313.55 = 99.53 : x
  2. Step 2: Convert to fraction form
    209.21/313.55 = 99.53/x
  3. Step 3: Cross multiply
    209.21x = 313.55 × 99.53
  4. Step 4: Simplify right side
    209.21x = 31,206.31
  5. Step 5: Solve for x
    x = 31,206.31/209.21
  6. Step 6: Final answer
    x = 149.16

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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.