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Finding the Fourth Proportional to 307.15, 460.66 and 90.67

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Solution

The fourth proportional to 307.15, 460.66 and 90.67 is: 135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 460.66 = 90.67 : x
  2. Step 2: Convert to fraction form
    307.15/460.66 = 90.67/x
  3. Step 3: Cross multiply
    307.15x = 460.66 × 90.67
  4. Step 4: Simplify right side
    307.15x = 41,768.04
  5. Step 5: Solve for x
    x = 41,768.04/307.15
  6. Step 6: Final answer
    x = 135.99

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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.