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Finding the Fourth Proportional to 152.00, 209.57 and 116.59

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Solution

The fourth proportional to 152.00, 209.57 and 116.59 is: 160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 209.57 = 116.59 : x
  2. Step 2: Convert to fraction form
    152.00/209.57 = 116.59/x
  3. Step 3: Cross multiply
    152.00x = 209.57 × 116.59
  4. Step 4: Simplify right side
    152.00x = 24,434.06
  5. Step 5: Solve for x
    x = 24,434.06/152.00
  6. Step 6: Final answer
    x = 160.75

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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.