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Finding the Fourth Proportional to 225.36, 310.77 and 202.98

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Solution

The fourth proportional to 225.36, 310.77 and 202.98 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.36 : 310.77 = 202.98 : x
  2. Step 2: Convert to fraction form
    225.36/310.77 = 202.98/x
  3. Step 3: Cross multiply
    225.36x = 310.77 × 202.98
  4. Step 4: Simplify right side
    225.36x = 63,080.09
  5. Step 5: Solve for x
    x = 63,080.09/225.36
  6. Step 6: Final answer
    x = 279.91

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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.