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Finding the Fourth Proportional to 229.03, 315.80 and 210.80

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Solution

The fourth proportional to 229.03, 315.80 and 210.80 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.03 : 315.80 = 210.80 : x
  2. Step 2: Convert to fraction form
    229.03/315.80 = 210.80/x
  3. Step 3: Cross multiply
    229.03x = 315.80 × 210.80
  4. Step 4: Simplify right side
    229.03x = 66,571.17
  5. Step 5: Solve for x
    x = 66,571.17/229.03
  6. Step 6: Final answer
    x = 290.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.