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Finding the Fourth Proportional to 368.58, 551.58 and 214.28

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Solution

The fourth proportional to 368.58, 551.58 and 214.28 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.58 : 551.58 = 214.28 : x
  2. Step 2: Convert to fraction form
    368.58/551.58 = 214.28/x
  3. Step 3: Cross multiply
    368.58x = 551.58 × 214.28
  4. Step 4: Simplify right side
    368.58x = 118,189.80
  5. Step 5: Solve for x
    x = 118,189.80/368.58
  6. Step 6: Final answer
    x = 320.66

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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.