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Finding the Fourth Proportional to 210.64, 290.66 and 127.76

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Solution

The fourth proportional to 210.64, 290.66 and 127.76 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 290.66 = 127.76 : x
  2. Step 2: Convert to fraction form
    210.64/290.66 = 127.76/x
  3. Step 3: Cross multiply
    210.64x = 290.66 × 127.76
  4. Step 4: Simplify right side
    210.64x = 37,134.72
  5. Step 5: Solve for x
    x = 37,134.72/210.64
  6. Step 6: Final answer
    x = 176.29

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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.