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Finding the Fourth Proportional to 213.41, 317.94 and 203.07

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Solution

The fourth proportional to 213.41, 317.94 and 203.07 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 317.94 = 203.07 : x
  2. Step 2: Convert to fraction form
    213.41/317.94 = 203.07/x
  3. Step 3: Cross multiply
    213.41x = 317.94 × 203.07
  4. Step 4: Simplify right side
    213.41x = 64,564.08
  5. Step 5: Solve for x
    x = 64,564.08/213.41
  6. Step 6: Final answer
    x = 302.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.