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Finding the Fourth Proportional to 253.17, 349.65 and 170.28

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Solution

The fourth proportional to 253.17, 349.65 and 170.28 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.17 : 349.65 = 170.28 : x
  2. Step 2: Convert to fraction form
    253.17/349.65 = 170.28/x
  3. Step 3: Cross multiply
    253.17x = 349.65 × 170.28
  4. Step 4: Simplify right side
    253.17x = 59,538.40
  5. Step 5: Solve for x
    x = 59,538.40/253.17
  6. Step 6: Final answer
    x = 235.17

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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.