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Finding the Fourth Proportional to 150.08, 208.06 and 147.10

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Solution

The fourth proportional to 150.08, 208.06 and 147.10 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 208.06 = 147.10 : x
  2. Step 2: Convert to fraction form
    150.08/208.06 = 147.10/x
  3. Step 3: Cross multiply
    150.08x = 208.06 × 147.10
  4. Step 4: Simplify right side
    150.08x = 30,605.63
  5. Step 5: Solve for x
    x = 30,605.63/150.08
  6. Step 6: Final answer
    x = 203.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.