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Finding the Fourth Proportional to 237.79, 356.75 and 146.53

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Solution

The fourth proportional to 237.79, 356.75 and 146.53 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.79 : 356.75 = 146.53 : x
  2. Step 2: Convert to fraction form
    237.79/356.75 = 146.53/x
  3. Step 3: Cross multiply
    237.79x = 356.75 × 146.53
  4. Step 4: Simplify right side
    237.79x = 52,274.58
  5. Step 5: Solve for x
    x = 52,274.58/237.79
  6. Step 6: Final answer
    x = 219.84

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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.