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Finding the Fourth Proportional to 310.83, 465.63 and 202.29

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Solution

The fourth proportional to 310.83, 465.63 and 202.29 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 465.63 = 202.29 : x
  2. Step 2: Convert to fraction form
    310.83/465.63 = 202.29/x
  3. Step 3: Cross multiply
    310.83x = 465.63 × 202.29
  4. Step 4: Simplify right side
    310.83x = 94,192.29
  5. Step 5: Solve for x
    x = 94,192.29/310.83
  6. Step 6: Final answer
    x = 303.03

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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.