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Finding the Fourth Proportional to 253.24, 349.86 and 175.84

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Solution

The fourth proportional to 253.24, 349.86 and 175.84 is: 242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 349.86 = 175.84 : x
  2. Step 2: Convert to fraction form
    253.24/349.86 = 175.84/x
  3. Step 3: Cross multiply
    253.24x = 349.86 × 175.84
  4. Step 4: Simplify right side
    253.24x = 61,519.38
  5. Step 5: Solve for x
    x = 61,519.38/253.24
  6. Step 6: Final answer
    x = 242.93

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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.