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Finding the Fourth Proportional to 180.32, 249.08 and 145.40

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Solution

The fourth proportional to 180.32, 249.08 and 145.40 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 249.08 = 145.40 : x
  2. Step 2: Convert to fraction form
    180.32/249.08 = 145.40/x
  3. Step 3: Cross multiply
    180.32x = 249.08 × 145.40
  4. Step 4: Simplify right side
    180.32x = 36,214.26
  5. Step 5: Solve for x
    x = 36,214.26/180.32
  6. Step 6: Final answer
    x = 200.84

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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.