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Finding the Fourth Proportional to 150.08, 206.96 and 130.64

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Solution

The fourth proportional to 150.08, 206.96 and 130.64 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 206.96 = 130.64 : x
  2. Step 2: Convert to fraction form
    150.08/206.96 = 130.64/x
  3. Step 3: Cross multiply
    150.08x = 206.96 × 130.64
  4. Step 4: Simplify right side
    150.08x = 27,037.25
  5. Step 5: Solve for x
    x = 27,037.25/150.08
  6. Step 6: Final answer
    x = 180.15

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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.