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Finding the Fourth Proportional to 368.47, 552.30 and 192.57

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Solution

The fourth proportional to 368.47, 552.30 and 192.57 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.47 : 552.30 = 192.57 : x
  2. Step 2: Convert to fraction form
    368.47/552.30 = 192.57/x
  3. Step 3: Cross multiply
    368.47x = 552.30 × 192.57
  4. Step 4: Simplify right side
    368.47x = 106,356.41
  5. Step 5: Solve for x
    x = 106,356.41/368.47
  6. Step 6: Final answer
    x = 288.64

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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.