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Finding the Fourth Proportional to 368.79, 552.44 and 185.93

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Solution

The fourth proportional to 368.79, 552.44 and 185.93 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.79 : 552.44 = 185.93 : x
  2. Step 2: Convert to fraction form
    368.79/552.44 = 185.93/x
  3. Step 3: Cross multiply
    368.79x = 552.44 × 185.93
  4. Step 4: Simplify right side
    368.79x = 102,715.17
  5. Step 5: Solve for x
    x = 102,715.17/368.79
  6. Step 6: Final answer
    x = 278.52

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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.