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Finding the Fourth Proportional to 307.72, 461.63 and 102.22

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Solution

The fourth proportional to 307.72, 461.63 and 102.22 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.63 = 102.22 : x
  2. Step 2: Convert to fraction form
    307.72/461.63 = 102.22/x
  3. Step 3: Cross multiply
    307.72x = 461.63 × 102.22
  4. Step 4: Simplify right side
    307.72x = 47,187.82
  5. Step 5: Solve for x
    x = 47,187.82/307.72
  6. Step 6: Final answer
    x = 153.35

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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.