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Finding the Fourth Proportional to 179.33, 268.64 and 102.06

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Solution

The fourth proportional to 179.33, 268.64 and 102.06 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.33 : 268.64 = 102.06 : x
  2. Step 2: Convert to fraction form
    179.33/268.64 = 102.06/x
  3. Step 3: Cross multiply
    179.33x = 268.64 × 102.06
  4. Step 4: Simplify right side
    179.33x = 27,417.65
  5. Step 5: Solve for x
    x = 27,417.65/179.33
  6. Step 6: Final answer
    x = 152.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.