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Finding the Fourth Proportional to 179.84, 268.53 and 160.40

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Solution

The fourth proportional to 179.84, 268.53 and 160.40 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 268.53 = 160.40 : x
  2. Step 2: Convert to fraction form
    179.84/268.53 = 160.40/x
  3. Step 3: Cross multiply
    179.84x = 268.53 × 160.40
  4. Step 4: Simplify right side
    179.84x = 43,071.41
  5. Step 5: Solve for x
    x = 43,071.41/179.84
  6. Step 6: Final answer
    x = 239.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.