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Finding the Fourth Proportional to 159.27, 237.53 and 146.00

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Solution

The fourth proportional to 159.27, 237.53 and 146.00 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.27 : 237.53 = 146.00 : x
  2. Step 2: Convert to fraction form
    159.27/237.53 = 146.00/x
  3. Step 3: Cross multiply
    159.27x = 237.53 × 146.00
  4. Step 4: Simplify right side
    159.27x = 34,680.34
  5. Step 5: Solve for x
    x = 34,680.34/159.27
  6. Step 6: Final answer
    x = 217.75

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Why These Related Problems?

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