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Finding the Fourth Proportional to 375.06, 561.56 and 192.06

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Solution

The fourth proportional to 375.06, 561.56 and 192.06 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.06 : 561.56 = 192.06 : x
  2. Step 2: Convert to fraction form
    375.06/561.56 = 192.06/x
  3. Step 3: Cross multiply
    375.06x = 561.56 × 192.06
  4. Step 4: Simplify right side
    375.06x = 107,852.25
  5. Step 5: Solve for x
    x = 107,852.25/375.06
  6. Step 6: Final answer
    x = 287.56

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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.