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Finding the Fourth Proportional to 307.90, 461.86 and 102.50

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Solution

The fourth proportional to 307.90, 461.86 and 102.50 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 461.86 = 102.50 : x
  2. Step 2: Convert to fraction form
    307.90/461.86 = 102.50/x
  3. Step 3: Cross multiply
    307.90x = 461.86 × 102.50
  4. Step 4: Simplify right side
    307.90x = 47,340.65
  5. Step 5: Solve for x
    x = 47,340.65/307.90
  6. Step 6: Final answer
    x = 153.75

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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.