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Finding the Fourth Proportional to 175.83, 242.64 and 98.19

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Solution

The fourth proportional to 175.83, 242.64 and 98.19 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 242.64 = 98.19 : x
  2. Step 2: Convert to fraction form
    175.83/242.64 = 98.19/x
  3. Step 3: Cross multiply
    175.83x = 242.64 × 98.19
  4. Step 4: Simplify right side
    175.83x = 23,824.82
  5. Step 5: Solve for x
    x = 23,824.82/175.83
  6. Step 6: Final answer
    x = 135.50

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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.