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Finding the Fourth Proportional to 151.30, 207.47 and 151.30

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Solution

The fourth proportional to 151.30, 207.47 and 151.30 is: 207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.30 : 207.47 = 151.30 : x
  2. Step 2: Convert to fraction form
    151.30/207.47 = 151.30/x
  3. Step 3: Cross multiply
    151.30x = 207.47 × 151.30
  4. Step 4: Simplify right side
    151.30x = 31,390.21
  5. Step 5: Solve for x
    x = 31,390.21/151.30
  6. Step 6: Final answer
    x = 207.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.