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Finding the Fourth Proportional to 237.69, 355.78 and 210.34

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Solution

The fourth proportional to 237.69, 355.78 and 210.34 is: 314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.69 : 355.78 = 210.34 : x
  2. Step 2: Convert to fraction form
    237.69/355.78 = 210.34/x
  3. Step 3: Cross multiply
    237.69x = 355.78 × 210.34
  4. Step 4: Simplify right side
    237.69x = 74,834.77
  5. Step 5: Solve for x
    x = 74,834.77/237.69
  6. Step 6: Final answer
    x = 314.84

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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.