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Finding the Fourth Proportional to 369.96, 555 and 174.84

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Solution

The fourth proportional to 369.96, 555 and 174.84 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 555 = 174.84 : x
  2. Step 2: Convert to fraction form
    369.96/555 = 174.84/x
  3. Step 3: Cross multiply
    369.96x = 555 × 174.84
  4. Step 4: Simplify right side
    369.96x = 97,036.20
  5. Step 5: Solve for x
    x = 97,036.20/369.96
  6. Step 6: Final answer
    x = 262.29

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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.