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Finding the Fourth Proportional to 153.04, 227.99 and 146.02

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Solution

The fourth proportional to 153.04, 227.99 and 146.02 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 227.99 = 146.02 : x
  2. Step 2: Convert to fraction form
    153.04/227.99 = 146.02/x
  3. Step 3: Cross multiply
    153.04x = 227.99 × 146.02
  4. Step 4: Simplify right side
    153.04x = 33,291.10
  5. Step 5: Solve for x
    x = 33,291.10/153.04
  6. Step 6: Final answer
    x = 217.53

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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.