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Finding the Fourth Proportional to 317.84, 476.62 and 135.14

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Solution

The fourth proportional to 317.84, 476.62 and 135.14 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 476.62 = 135.14 : x
  2. Step 2: Convert to fraction form
    317.84/476.62 = 135.14/x
  3. Step 3: Cross multiply
    317.84x = 476.62 × 135.14
  4. Step 4: Simplify right side
    317.84x = 64,410.43
  5. Step 5: Solve for x
    x = 64,410.43/317.84
  6. Step 6: Final answer
    x = 202.65

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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.