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Finding the Fourth Proportional to 210.96, 291.14 and 128.06

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Solution

The fourth proportional to 210.96, 291.14 and 128.06 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 291.14 = 128.06 : x
  2. Step 2: Convert to fraction form
    210.96/291.14 = 128.06/x
  3. Step 3: Cross multiply
    210.96x = 291.14 × 128.06
  4. Step 4: Simplify right side
    210.96x = 37,284.50
  5. Step 5: Solve for x
    x = 37,284.50/210.96
  6. Step 6: Final answer
    x = 176.74

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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.