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Finding the Fourth Proportional to 210.83, 315.60 and 183.83

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Solution

The fourth proportional to 210.83, 315.60 and 183.83 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.83 : 315.60 = 183.83 : x
  2. Step 2: Convert to fraction form
    210.83/315.60 = 183.83/x
  3. Step 3: Cross multiply
    210.83x = 315.60 × 183.83
  4. Step 4: Simplify right side
    210.83x = 58,016.75
  5. Step 5: Solve for x
    x = 58,016.75/210.83
  6. Step 6: Final answer
    x = 275.18

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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.