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Finding the Fourth Proportional to 210.99, 291.58 and 158.71

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Solution

The fourth proportional to 210.99, 291.58 and 158.71 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.99 : 291.58 = 158.71 : x
  2. Step 2: Convert to fraction form
    210.99/291.58 = 158.71/x
  3. Step 3: Cross multiply
    210.99x = 291.58 × 158.71
  4. Step 4: Simplify right side
    210.99x = 46,276.66
  5. Step 5: Solve for x
    x = 46,276.66/210.99
  6. Step 6: Final answer
    x = 219.33

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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.