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Finding the Fourth Proportional to 307.47, 461.05 and 102

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Solution

The fourth proportional to 307.47, 461.05 and 102 is: 152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.47 : 461.05 = 102 : x
  2. Step 2: Convert to fraction form
    307.47/461.05 = 102/x
  3. Step 3: Cross multiply
    307.47x = 461.05 × 102
  4. Step 4: Simplify right side
    307.47x = 47,027.10
  5. Step 5: Solve for x
    x = 47,027.10/307.47
  6. Step 6: Final answer
    x = 152.95

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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.