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Finding the Fourth Proportional to 154.35, 229.73 and 148.50

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Solution

The fourth proportional to 154.35, 229.73 and 148.50 is: 221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.35 : 229.73 = 148.50 : x
  2. Step 2: Convert to fraction form
    154.35/229.73 = 148.50/x
  3. Step 3: Cross multiply
    154.35x = 229.73 × 148.50
  4. Step 4: Simplify right side
    154.35x = 34,114.16
  5. Step 5: Solve for x
    x = 34,114.16/154.35
  6. Step 6: Final answer
    x = 221.02

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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.