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Finding the Fourth Proportional to 319.09, 478.74 and 164.93

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Solution

The fourth proportional to 319.09, 478.74 and 164.93 is: 247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.09 : 478.74 = 164.93 : x
  2. Step 2: Convert to fraction form
    319.09/478.74 = 164.93/x
  3. Step 3: Cross multiply
    319.09x = 478.74 × 164.93
  4. Step 4: Simplify right side
    319.09x = 78,957.76
  5. Step 5: Solve for x
    x = 78,957.76/319.09
  6. Step 6: Final answer
    x = 247.45

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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.