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Finding the Fourth Proportional to 368.34, 552.54 and 111.84

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Solution

The fourth proportional to 368.34, 552.54 and 111.84 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 552.54 = 111.84 : x
  2. Step 2: Convert to fraction form
    368.34/552.54 = 111.84/x
  3. Step 3: Cross multiply
    368.34x = 552.54 × 111.84
  4. Step 4: Simplify right side
    368.34x = 61,796.07
  5. Step 5: Solve for x
    x = 61,796.07/368.34
  6. Step 6: Final answer
    x = 167.77

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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.