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Finding the Fourth Proportional to 145.02, 200.16 and 115.86

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Solution

The fourth proportional to 145.02, 200.16 and 115.86 is: 159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 200.16 = 115.86 : x
  2. Step 2: Convert to fraction form
    145.02/200.16 = 115.86/x
  3. Step 3: Cross multiply
    145.02x = 200.16 × 115.86
  4. Step 4: Simplify right side
    145.02x = 23,190.54
  5. Step 5: Solve for x
    x = 23,190.54/145.02
  6. Step 6: Final answer
    x = 159.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.