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Finding the Fourth Proportional to 317.84, 476.68 and 202.12

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Solution

The fourth proportional to 317.84, 476.68 and 202.12 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 476.68 = 202.12 : x
  2. Step 2: Convert to fraction form
    317.84/476.68 = 202.12/x
  3. Step 3: Cross multiply
    317.84x = 476.68 × 202.12
  4. Step 4: Simplify right side
    317.84x = 96,346.56
  5. Step 5: Solve for x
    x = 96,346.56/317.84
  6. Step 6: Final answer
    x = 303.13

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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.