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Finding the Fourth Proportional to 160.35, 238.65 and 154.50

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Solution

The fourth proportional to 160.35, 238.65 and 154.50 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.35 : 238.65 = 154.50 : x
  2. Step 2: Convert to fraction form
    160.35/238.65 = 154.50/x
  3. Step 3: Cross multiply
    160.35x = 238.65 × 154.50
  4. Step 4: Simplify right side
    160.35x = 36,871.43
  5. Step 5: Solve for x
    x = 36,871.43/160.35
  6. Step 6: Final answer
    x = 229.94

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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.