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Finding the Fourth Proportional to 307.93, 461.91 and 102.49

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Solution

The fourth proportional to 307.93, 461.91 and 102.49 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.93 : 461.91 = 102.49 : x
  2. Step 2: Convert to fraction form
    307.93/461.91 = 102.49/x
  3. Step 3: Cross multiply
    307.93x = 461.91 × 102.49
  4. Step 4: Simplify right side
    307.93x = 47,341.16
  5. Step 5: Solve for x
    x = 47,341.16/307.93
  6. Step 6: Final answer
    x = 153.74

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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.