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Finding the Fourth Proportional to 207.30, 309.64 and 155.67

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Solution

The fourth proportional to 207.30, 309.64 and 155.67 is: 232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 309.64 = 155.67 : x
  2. Step 2: Convert to fraction form
    207.30/309.64 = 155.67/x
  3. Step 3: Cross multiply
    207.30x = 309.64 × 155.67
  4. Step 4: Simplify right side
    207.30x = 48,201.66
  5. Step 5: Solve for x
    x = 48,201.66/207.30
  6. Step 6: Final answer
    x = 232.52

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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.