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Finding the Fourth Proportional to 193.30, 290.32 and 153.02

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Solution

The fourth proportional to 193.30, 290.32 and 153.02 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 290.32 = 153.02 : x
  2. Step 2: Convert to fraction form
    193.30/290.32 = 153.02/x
  3. Step 3: Cross multiply
    193.30x = 290.32 × 153.02
  4. Step 4: Simplify right side
    193.30x = 44,424.77
  5. Step 5: Solve for x
    x = 44,424.77/193.30
  6. Step 6: Final answer
    x = 229.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.