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Finding the Fourth Proportional to 307.72, 461.76 and 153.64

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Solution

The fourth proportional to 307.72, 461.76 and 153.64 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.76 = 153.64 : x
  2. Step 2: Convert to fraction form
    307.72/461.76 = 153.64/x
  3. Step 3: Cross multiply
    307.72x = 461.76 × 153.64
  4. Step 4: Simplify right side
    307.72x = 70,944.81
  5. Step 5: Solve for x
    x = 70,944.81/307.72
  6. Step 6: Final answer
    x = 230.55

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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.