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Finding the Fourth Proportional to 317.86, 476.82 and 98.54

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Solution

The fourth proportional to 317.86, 476.82 and 98.54 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.86 : 476.82 = 98.54 : x
  2. Step 2: Convert to fraction form
    317.86/476.82 = 98.54/x
  3. Step 3: Cross multiply
    317.86x = 476.82 × 98.54
  4. Step 4: Simplify right side
    317.86x = 46,985.84
  5. Step 5: Solve for x
    x = 46,985.84/317.86
  6. Step 6: Final answer
    x = 147.82

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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.