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Finding the Fourth Proportional to 307.61, 461.48 and 145.21

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Solution

The fourth proportional to 307.61, 461.48 and 145.21 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.61 : 461.48 = 145.21 : x
  2. Step 2: Convert to fraction form
    307.61/461.48 = 145.21/x
  3. Step 3: Cross multiply
    307.61x = 461.48 × 145.21
  4. Step 4: Simplify right side
    307.61x = 67,009.02
  5. Step 5: Solve for x
    x = 67,009.02/307.61
  6. Step 6: Final answer
    x = 217.84

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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.