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Finding the Fourth Proportional to 368.66, 553.22 and 152.25

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Solution

The fourth proportional to 368.66, 553.22 and 152.25 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 553.22 = 152.25 : x
  2. Step 2: Convert to fraction form
    368.66/553.22 = 152.25/x
  3. Step 3: Cross multiply
    368.66x = 553.22 × 152.25
  4. Step 4: Simplify right side
    368.66x = 84,227.55
  5. Step 5: Solve for x
    x = 84,227.55/368.66
  6. Step 6: Final answer
    x = 228.47

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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.