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Finding the Fourth Proportional to 237.42, 354.45 and 206.70

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Solution

The fourth proportional to 237.42, 354.45 and 206.70 is: 308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 354.45 = 206.70 : x
  2. Step 2: Convert to fraction form
    237.42/354.45 = 206.70/x
  3. Step 3: Cross multiply
    237.42x = 354.45 × 206.70
  4. Step 4: Simplify right side
    237.42x = 73,264.82
  5. Step 5: Solve for x
    x = 73,264.82/237.42
  6. Step 6: Final answer
    x = 308.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.