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Finding the Fourth Proportional to 153.09, 231.00 and 146.77

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Solution

The fourth proportional to 153.09, 231.00 and 146.77 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 231.00 = 146.77 : x
  2. Step 2: Convert to fraction form
    153.09/231.00 = 146.77/x
  3. Step 3: Cross multiply
    153.09x = 231.00 × 146.77
  4. Step 4: Simplify right side
    153.09x = 33,903.73
  5. Step 5: Solve for x
    x = 33,903.73/153.09
  6. Step 6: Final answer
    x = 221.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.