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Finding the Fourth Proportional to 150.95, 207.86 and 147.54

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Solution

The fourth proportional to 150.95, 207.86 and 147.54 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.95 : 207.86 = 147.54 : x
  2. Step 2: Convert to fraction form
    150.95/207.86 = 147.54/x
  3. Step 3: Cross multiply
    150.95x = 207.86 × 147.54
  4. Step 4: Simplify right side
    150.95x = 30,666.93
  5. Step 5: Solve for x
    x = 30,666.93/150.95
  6. Step 6: Final answer
    x = 203.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.