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Finding the Fourth Proportional to 368.04, 552.66 and 206.04

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Solution

The fourth proportional to 368.04, 552.66 and 206.04 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.04 : 552.66 = 206.04 : x
  2. Step 2: Convert to fraction form
    368.04/552.66 = 206.04/x
  3. Step 3: Cross multiply
    368.04x = 552.66 × 206.04
  4. Step 4: Simplify right side
    368.04x = 113,870.07
  5. Step 5: Solve for x
    x = 113,870.07/368.04
  6. Step 6: Final answer
    x = 309.40

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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.