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Finding the Fourth Proportional to 317.51, 475.88 and 144.22

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Solution

The fourth proportional to 317.51, 475.88 and 144.22 is: 216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.51 : 475.88 = 144.22 : x
  2. Step 2: Convert to fraction form
    317.51/475.88 = 144.22/x
  3. Step 3: Cross multiply
    317.51x = 475.88 × 144.22
  4. Step 4: Simplify right side
    317.51x = 68,631.41
  5. Step 5: Solve for x
    x = 68,631.41/317.51
  6. Step 6: Final answer
    x = 216.16

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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.