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Finding the Fourth Proportional to 224.80, 310.26 and 210.16

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Solution

The fourth proportional to 224.80, 310.26 and 210.16 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.80 : 310.26 = 210.16 : x
  2. Step 2: Convert to fraction form
    224.80/310.26 = 210.16/x
  3. Step 3: Cross multiply
    224.80x = 310.26 × 210.16
  4. Step 4: Simplify right side
    224.80x = 65,204.24
  5. Step 5: Solve for x
    x = 65,204.24/224.80
  6. Step 6: Final answer
    x = 290.05

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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.