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Finding the Fourth Proportional to 145.86, 200.85 and 114.90

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Solution

The fourth proportional to 145.86, 200.85 and 114.90 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 200.85 = 114.90 : x
  2. Step 2: Convert to fraction form
    145.86/200.85 = 114.90/x
  3. Step 3: Cross multiply
    145.86x = 200.85 × 114.90
  4. Step 4: Simplify right side
    145.86x = 23,077.67
  5. Step 5: Solve for x
    x = 23,077.67/145.86
  6. Step 6: Final answer
    x = 158.22

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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.