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Finding the Fourth Proportional to 368.04, 551.31 and 185.19

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Solution

The fourth proportional to 368.04, 551.31 and 185.19 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.04 : 551.31 = 185.19 : x
  2. Step 2: Convert to fraction form
    368.04/551.31 = 185.19/x
  3. Step 3: Cross multiply
    368.04x = 551.31 × 185.19
  4. Step 4: Simplify right side
    368.04x = 102,097.10
  5. Step 5: Solve for x
    x = 102,097.10/368.04
  6. Step 6: Final answer
    x = 277.41

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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.