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Finding the Fourth Proportional to 368.82, 553.14 and 152.42

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Solution

The fourth proportional to 368.82, 553.14 and 152.42 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.82 : 553.14 = 152.42 : x
  2. Step 2: Convert to fraction form
    368.82/553.14 = 152.42/x
  3. Step 3: Cross multiply
    368.82x = 553.14 × 152.42
  4. Step 4: Simplify right side
    368.82x = 84,306.83
  5. Step 5: Solve for x
    x = 84,306.83/368.82
  6. Step 6: Final answer
    x = 228.59

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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.