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Finding the Fourth Proportional to 225.51, 309.27 and 216.16

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Solution

The fourth proportional to 225.51, 309.27 and 216.16 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.51 : 309.27 = 216.16 : x
  2. Step 2: Convert to fraction form
    225.51/309.27 = 216.16/x
  3. Step 3: Cross multiply
    225.51x = 309.27 × 216.16
  4. Step 4: Simplify right side
    225.51x = 66,849.18
  5. Step 5: Solve for x
    x = 66,849.18/225.51
  6. Step 6: Final answer
    x = 296.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.