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Finding the Fourth Proportional to 145.84, 216.92 and 141.31

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Solution

The fourth proportional to 145.84, 216.92 and 141.31 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.84 : 216.92 = 141.31 : x
  2. Step 2: Convert to fraction form
    145.84/216.92 = 141.31/x
  3. Step 3: Cross multiply
    145.84x = 216.92 × 141.31
  4. Step 4: Simplify right side
    145.84x = 30,652.97
  5. Step 5: Solve for x
    x = 30,652.97/145.84
  6. Step 6: Final answer
    x = 210.18

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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.