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Finding the Fourth Proportional to 320.56, 442.37 and 187.75

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Solution

The fourth proportional to 320.56, 442.37 and 187.75 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.56 : 442.37 = 187.75 : x
  2. Step 2: Convert to fraction form
    320.56/442.37 = 187.75/x
  3. Step 3: Cross multiply
    320.56x = 442.37 × 187.75
  4. Step 4: Simplify right side
    320.56x = 83,055.63
  5. Step 5: Solve for x
    x = 83,055.63/320.56
  6. Step 6: Final answer
    x = 259.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.