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Finding the Fourth Proportional to 210.81, 290.59 and 140.74

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Solution

The fourth proportional to 210.81, 290.59 and 140.74 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.81 : 290.59 = 140.74 : x
  2. Step 2: Convert to fraction form
    210.81/290.59 = 140.74/x
  3. Step 3: Cross multiply
    210.81x = 290.59 × 140.74
  4. Step 4: Simplify right side
    210.81x = 40,897.64
  5. Step 5: Solve for x
    x = 40,897.64/210.81
  6. Step 6: Final answer
    x = 194.00

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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.