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Finding the Fourth Proportional to 307.24, 460.95 and 101.86

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Solution

The fourth proportional to 307.24, 460.95 and 101.86 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 460.95 = 101.86 : x
  2. Step 2: Convert to fraction form
    307.24/460.95 = 101.86/x
  3. Step 3: Cross multiply
    307.24x = 460.95 × 101.86
  4. Step 4: Simplify right side
    307.24x = 46,952.37
  5. Step 5: Solve for x
    x = 46,952.37/307.24
  6. Step 6: Final answer
    x = 152.82

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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.