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Finding the Fourth Proportional to 210.64, 290.06 and 173.74

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Solution

The fourth proportional to 210.64, 290.06 and 173.74 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 290.06 = 173.74 : x
  2. Step 2: Convert to fraction form
    210.64/290.06 = 173.74/x
  3. Step 3: Cross multiply
    210.64x = 290.06 × 173.74
  4. Step 4: Simplify right side
    210.64x = 50,395.02
  5. Step 5: Solve for x
    x = 50,395.02/210.64
  6. Step 6: Final answer
    x = 239.25

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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.