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Finding the Fourth Proportional to 237.47, 356.40 and 205.07

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Solution

The fourth proportional to 237.47, 356.40 and 205.07 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 356.40 = 205.07 : x
  2. Step 2: Convert to fraction form
    237.47/356.40 = 205.07/x
  3. Step 3: Cross multiply
    237.47x = 356.40 × 205.07
  4. Step 4: Simplify right side
    237.47x = 73,085.17
  5. Step 5: Solve for x
    x = 73,085.17/237.47
  6. Step 6: Final answer
    x = 307.77

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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.