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Finding the Fourth Proportional to 175.37, 242.00 and 109.91

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Solution

The fourth proportional to 175.37, 242.00 and 109.91 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.37 : 242.00 = 109.91 : x
  2. Step 2: Convert to fraction form
    175.37/242.00 = 109.91/x
  3. Step 3: Cross multiply
    175.37x = 242.00 × 109.91
  4. Step 4: Simplify right side
    175.37x = 26,596.46
  5. Step 5: Solve for x
    x = 26,596.46/175.37
  6. Step 6: Final answer
    x = 151.66

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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.