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Finding the Fourth Proportional to 145.22, 200.49 and 129.02

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Solution

The fourth proportional to 145.22, 200.49 and 129.02 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.22 : 200.49 = 129.02 : x
  2. Step 2: Convert to fraction form
    145.22/200.49 = 129.02/x
  3. Step 3: Cross multiply
    145.22x = 200.49 × 129.02
  4. Step 4: Simplify right side
    145.22x = 25,867.22
  5. Step 5: Solve for x
    x = 25,867.22/145.22
  6. Step 6: Final answer
    x = 178.12

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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.