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Finding the Fourth Proportional to 317.99, 477.08 and 101.59

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Solution

The fourth proportional to 317.99, 477.08 and 101.59 is: 152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.99 : 477.08 = 101.59 : x
  2. Step 2: Convert to fraction form
    317.99/477.08 = 101.59/x
  3. Step 3: Cross multiply
    317.99x = 477.08 × 101.59
  4. Step 4: Simplify right side
    317.99x = 48,466.56
  5. Step 5: Solve for x
    x = 48,466.56/317.99
  6. Step 6: Final answer
    x = 152.42

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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.