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Finding the Fourth Proportional to 210.38, 290.46 and 145.16

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Solution

The fourth proportional to 210.38, 290.46 and 145.16 is: 200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.38 : 290.46 = 145.16 : x
  2. Step 2: Convert to fraction form
    210.38/290.46 = 145.16/x
  3. Step 3: Cross multiply
    210.38x = 290.46 × 145.16
  4. Step 4: Simplify right side
    210.38x = 42,163.17
  5. Step 5: Solve for x
    x = 42,163.17/210.38
  6. Step 6: Final answer
    x = 200.41

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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.