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Finding the Fourth Proportional to 209.71, 314.63 and 175.33

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Solution

The fourth proportional to 209.71, 314.63 and 175.33 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 314.63 = 175.33 : x
  2. Step 2: Convert to fraction form
    209.71/314.63 = 175.33/x
  3. Step 3: Cross multiply
    209.71x = 314.63 × 175.33
  4. Step 4: Simplify right side
    209.71x = 55,164.08
  5. Step 5: Solve for x
    x = 55,164.08/209.71
  6. Step 6: Final answer
    x = 263.05

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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.