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Finding the Fourth Proportional to 213.49, 320.10 and 145.06

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Solution

The fourth proportional to 213.49, 320.10 and 145.06 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.49 : 320.10 = 145.06 : x
  2. Step 2: Convert to fraction form
    213.49/320.10 = 145.06/x
  3. Step 3: Cross multiply
    213.49x = 320.10 × 145.06
  4. Step 4: Simplify right side
    213.49x = 46,433.71
  5. Step 5: Solve for x
    x = 46,433.71/213.49
  6. Step 6: Final answer
    x = 217.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.