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Finding the Fourth Proportional to 301.51, 416.14 and 219

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Solution

The fourth proportional to 301.51, 416.14 and 219 is: 302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 416.14 = 219 : x
  2. Step 2: Convert to fraction form
    301.51/416.14 = 219/x
  3. Step 3: Cross multiply
    301.51x = 416.14 × 219
  4. Step 4: Simplify right side
    301.51x = 91,134.66
  5. Step 5: Solve for x
    x = 91,134.66/301.51
  6. Step 6: Final answer
    x = 302.26

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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.