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Finding the Fourth Proportional to 329.59, 493.68 and 156.00

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Solution

The fourth proportional to 329.59, 493.68 and 156.00 is: 233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.59 : 493.68 = 156.00 : x
  2. Step 2: Convert to fraction form
    329.59/493.68 = 156.00/x
  3. Step 3: Cross multiply
    329.59x = 493.68 × 156.00
  4. Step 4: Simplify right side
    329.59x = 77,010.83
  5. Step 5: Solve for x
    x = 77,010.83/329.59
  6. Step 6: Final answer
    x = 233.66

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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.