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Finding the Fourth Proportional to 152.89, 230.34 and 146.21

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Solution

The fourth proportional to 152.89, 230.34 and 146.21 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 230.34 = 146.21 : x
  2. Step 2: Convert to fraction form
    152.89/230.34 = 146.21/x
  3. Step 3: Cross multiply
    152.89x = 230.34 × 146.21
  4. Step 4: Simplify right side
    152.89x = 33,677.41
  5. Step 5: Solve for x
    x = 33,677.41/152.89
  6. Step 6: Final answer
    x = 220.28

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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.