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Finding the Fourth Proportional to 175.94, 242.77 and 98.30

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Solution

The fourth proportional to 175.94, 242.77 and 98.30 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 242.77 = 98.30 : x
  2. Step 2: Convert to fraction form
    175.94/242.77 = 98.30/x
  3. Step 3: Cross multiply
    175.94x = 242.77 × 98.30
  4. Step 4: Simplify right side
    175.94x = 23,864.29
  5. Step 5: Solve for x
    x = 23,864.29/175.94
  6. Step 6: Final answer
    x = 135.64

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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.