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Finding the Fourth Proportional to 180.80, 248.64 and 145.40

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Solution

The fourth proportional to 180.80, 248.64 and 145.40 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 248.64 = 145.40 : x
  2. Step 2: Convert to fraction form
    180.80/248.64 = 145.40/x
  3. Step 3: Cross multiply
    180.80x = 248.64 × 145.40
  4. Step 4: Simplify right side
    180.80x = 36,152.26
  5. Step 5: Solve for x
    x = 36,152.26/180.80
  6. Step 6: Final answer
    x = 199.96

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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.