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Finding the Fourth Proportional to 310.51, 465.25 and 219.02

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Solution

The fourth proportional to 310.51, 465.25 and 219.02 is: 328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 465.25 = 219.02 : x
  2. Step 2: Convert to fraction form
    310.51/465.25 = 219.02/x
  3. Step 3: Cross multiply
    310.51x = 465.25 × 219.02
  4. Step 4: Simplify right side
    310.51x = 101,899.06
  5. Step 5: Solve for x
    x = 101,899.06/310.51
  6. Step 6: Final answer
    x = 328.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.