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Finding the Fourth Proportional to 317.84, 476.69 and 151.06

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Solution

The fourth proportional to 317.84, 476.69 and 151.06 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 476.69 = 151.06 : x
  2. Step 2: Convert to fraction form
    317.84/476.69 = 151.06/x
  3. Step 3: Cross multiply
    317.84x = 476.69 × 151.06
  4. Step 4: Simplify right side
    317.84x = 72,008.79
  5. Step 5: Solve for x
    x = 72,008.79/317.84
  6. Step 6: Final answer
    x = 226.56

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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.