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Finding the Fourth Proportional to 307.23, 460.81 and 101.79

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Solution

The fourth proportional to 307.23, 460.81 and 101.79 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 460.81 = 101.79 : x
  2. Step 2: Convert to fraction form
    307.23/460.81 = 101.79/x
  3. Step 3: Cross multiply
    307.23x = 460.81 × 101.79
  4. Step 4: Simplify right side
    307.23x = 46,905.40
  5. Step 5: Solve for x
    x = 46,905.40/307.23
  6. Step 6: Final answer
    x = 152.67

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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.