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Finding the Fourth Proportional to 202.58, 303.70 and 99.72

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Solution

The fourth proportional to 202.58, 303.70 and 99.72 is: 149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 303.70 = 99.72 : x
  2. Step 2: Convert to fraction form
    202.58/303.70 = 99.72/x
  3. Step 3: Cross multiply
    202.58x = 303.70 × 99.72
  4. Step 4: Simplify right side
    202.58x = 30,285.48
  5. Step 5: Solve for x
    x = 30,285.48/202.58
  6. Step 6: Final answer
    x = 149.50

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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.