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Finding the Fourth Proportional to 255.47, 383.49 and 209.93

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Solution

The fourth proportional to 255.47, 383.49 and 209.93 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.47 : 383.49 = 209.93 : x
  2. Step 2: Convert to fraction form
    255.47/383.49 = 209.93/x
  3. Step 3: Cross multiply
    255.47x = 383.49 × 209.93
  4. Step 4: Simplify right side
    255.47x = 80,504.14
  5. Step 5: Solve for x
    x = 80,504.14/255.47
  6. Step 6: Final answer
    x = 315.13

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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.