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Finding the Fourth Proportional to 307.70, 461.70 and 145.42

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Solution

The fourth proportional to 307.70, 461.70 and 145.42 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 461.70 = 145.42 : x
  2. Step 2: Convert to fraction form
    307.70/461.70 = 145.42/x
  3. Step 3: Cross multiply
    307.70x = 461.70 × 145.42
  4. Step 4: Simplify right side
    307.70x = 67,140.41
  5. Step 5: Solve for x
    x = 67,140.41/307.70
  6. Step 6: Final answer
    x = 218.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.