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Finding the Fourth Proportional to 310.95, 465.72 and 202.41

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Solution

The fourth proportional to 310.95, 465.72 and 202.41 is: 303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 465.72 = 202.41 : x
  2. Step 2: Convert to fraction form
    310.95/465.72 = 202.41/x
  3. Step 3: Cross multiply
    310.95x = 465.72 × 202.41
  4. Step 4: Simplify right side
    310.95x = 94,266.39
  5. Step 5: Solve for x
    x = 94,266.39/310.95
  6. Step 6: Final answer
    x = 303.16

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