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Finding the Fourth Proportional to 253.55, 349.84 and 160.40

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Solution

The fourth proportional to 253.55, 349.84 and 160.40 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.55 : 349.84 = 160.40 : x
  2. Step 2: Convert to fraction form
    253.55/349.84 = 160.40/x
  3. Step 3: Cross multiply
    253.55x = 349.84 × 160.40
  4. Step 4: Simplify right side
    253.55x = 56,114.34
  5. Step 5: Solve for x
    x = 56,114.34/253.55
  6. Step 6: Final answer
    x = 221.31

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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.