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Finding the Fourth Proportional to 307.84, 461.53 and 102.30

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Solution

The fourth proportional to 307.84, 461.53 and 102.30 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 461.53 = 102.30 : x
  2. Step 2: Convert to fraction form
    307.84/461.53 = 102.30/x
  3. Step 3: Cross multiply
    307.84x = 461.53 × 102.30
  4. Step 4: Simplify right side
    307.84x = 47,214.52
  5. Step 5: Solve for x
    x = 47,214.52/307.84
  6. Step 6: Final answer
    x = 153.37

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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.