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Finding the Fourth Proportional to 153.45, 228.60 and 149.22

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Solution

The fourth proportional to 153.45, 228.60 and 149.22 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.45 : 228.60 = 149.22 : x
  2. Step 2: Convert to fraction form
    153.45/228.60 = 149.22/x
  3. Step 3: Cross multiply
    153.45x = 228.60 × 149.22
  4. Step 4: Simplify right side
    153.45x = 34,111.69
  5. Step 5: Solve for x
    x = 34,111.69/153.45
  6. Step 6: Final answer
    x = 222.30

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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.