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Finding the Fourth Proportional to 210.42, 290.61 and 145.08

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Solution

The fourth proportional to 210.42, 290.61 and 145.08 is: 200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 290.61 = 145.08 : x
  2. Step 2: Convert to fraction form
    210.42/290.61 = 145.08/x
  3. Step 3: Cross multiply
    210.42x = 290.61 × 145.08
  4. Step 4: Simplify right side
    210.42x = 42,161.70
  5. Step 5: Solve for x
    x = 42,161.70/210.42
  6. Step 6: Final answer
    x = 200.37

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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.