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Finding the Fourth Proportional to 376.23, 564.37 and 102.32

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Solution

The fourth proportional to 376.23, 564.37 and 102.32 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.23 : 564.37 = 102.32 : x
  2. Step 2: Convert to fraction form
    376.23/564.37 = 102.32/x
  3. Step 3: Cross multiply
    376.23x = 564.37 × 102.32
  4. Step 4: Simplify right side
    376.23x = 57,746.34
  5. Step 5: Solve for x
    x = 57,746.34/376.23
  6. Step 6: Final answer
    x = 153.49

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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.