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Finding the Fourth Proportional to 145.83, 201.02 and 142.95

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Solution

The fourth proportional to 145.83, 201.02 and 142.95 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 201.02 = 142.95 : x
  2. Step 2: Convert to fraction form
    145.83/201.02 = 142.95/x
  3. Step 3: Cross multiply
    145.83x = 201.02 × 142.95
  4. Step 4: Simplify right side
    145.83x = 28,735.09
  5. Step 5: Solve for x
    x = 28,735.09/145.83
  6. Step 6: Final answer
    x = 197.05

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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.