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Finding the Fourth Proportional to 307.72, 461.64 and 102.30

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Solution

The fourth proportional to 307.72, 461.64 and 102.30 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.64 = 102.30 : x
  2. Step 2: Convert to fraction form
    307.72/461.64 = 102.30/x
  3. Step 3: Cross multiply
    307.72x = 461.64 × 102.30
  4. Step 4: Simplify right side
    307.72x = 47,223.46
  5. Step 5: Solve for x
    x = 47,223.46/307.72
  6. Step 6: Final answer
    x = 153.46

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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.