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Finding the Fourth Proportional to 209.15, 312 and 175.13

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Solution

The fourth proportional to 209.15, 312 and 175.13 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.15 : 312 = 175.13 : x
  2. Step 2: Convert to fraction form
    209.15/312 = 175.13/x
  3. Step 3: Cross multiply
    209.15x = 312 × 175.13
  4. Step 4: Simplify right side
    209.15x = 54,640.56
  5. Step 5: Solve for x
    x = 54,640.56/209.15
  6. Step 6: Final answer
    x = 261.25

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