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Finding the Fourth Proportional to 253.60, 350.18 and 160.50

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Solution

The fourth proportional to 253.60, 350.18 and 160.50 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.60 : 350.18 = 160.50 : x
  2. Step 2: Convert to fraction form
    253.60/350.18 = 160.50/x
  3. Step 3: Cross multiply
    253.60x = 350.18 × 160.50
  4. Step 4: Simplify right side
    253.60x = 56,203.89
  5. Step 5: Solve for x
    x = 56,203.89/253.60
  6. Step 6: Final answer
    x = 221.62

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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.