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Finding the Fourth Proportional to 175.83, 242.47 and 116.80

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Solution

The fourth proportional to 175.83, 242.47 and 116.80 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 242.47 = 116.80 : x
  2. Step 2: Convert to fraction form
    175.83/242.47 = 116.80/x
  3. Step 3: Cross multiply
    175.83x = 242.47 × 116.80
  4. Step 4: Simplify right side
    175.83x = 28,320.51
  5. Step 5: Solve for x
    x = 28,320.51/175.83
  6. Step 6: Final answer
    x = 161.06

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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.