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Finding the Fourth Proportional to 307.50, 424.35 and 191.13

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Solution

The fourth proportional to 307.50, 424.35 and 191.13 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 424.35 = 191.13 : x
  2. Step 2: Convert to fraction form
    307.50/424.35 = 191.13/x
  3. Step 3: Cross multiply
    307.50x = 424.35 × 191.13
  4. Step 4: Simplify right side
    307.50x = 81,106.02
  5. Step 5: Solve for x
    x = 81,106.02/307.50
  6. Step 6: Final answer
    x = 263.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.