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Finding the Fourth Proportional to 145.64, 217.22 and 141.31

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Solution

The fourth proportional to 145.64, 217.22 and 141.31 is: 210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.64 : 217.22 = 141.31 : x
  2. Step 2: Convert to fraction form
    145.64/217.22 = 141.31/x
  3. Step 3: Cross multiply
    145.64x = 217.22 × 141.31
  4. Step 4: Simplify right side
    145.64x = 30,695.36
  5. Step 5: Solve for x
    x = 30,695.36/145.64
  6. Step 6: Final answer
    x = 210.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.