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Finding the Fourth Proportional to 151.70, 227.54 and 65.00

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Solution

The fourth proportional to 151.70, 227.54 and 65.00 is: 97.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.70 : 227.54 = 65.00 : x
  2. Step 2: Convert to fraction form
    151.70/227.54 = 65.00/x
  3. Step 3: Cross multiply
    151.70x = 227.54 × 65.00
  4. Step 4: Simplify right side
    151.70x = 14,788.64
  5. Step 5: Solve for x
    x = 14,788.64/151.70
  6. Step 6: Final answer
    x = 97.49

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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.