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Finding the Fourth Proportional to 386.23, 579.62 and 152

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Solution

The fourth proportional to 386.23, 579.62 and 152 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 579.62 = 152 : x
  2. Step 2: Convert to fraction form
    386.23/579.62 = 152/x
  3. Step 3: Cross multiply
    386.23x = 579.62 × 152
  4. Step 4: Simplify right side
    386.23x = 88,102.24
  5. Step 5: Solve for x
    x = 88,102.24/386.23
  6. Step 6: Final answer
    x = 228.11

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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.