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Finding the Fourth Proportional to 375.04, 562.29 and 192.08

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Solution

The fourth proportional to 375.04, 562.29 and 192.08 is: 287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.04 : 562.29 = 192.08 : x
  2. Step 2: Convert to fraction form
    375.04/562.29 = 192.08/x
  3. Step 3: Cross multiply
    375.04x = 562.29 × 192.08
  4. Step 4: Simplify right side
    375.04x = 108,004.66
  5. Step 5: Solve for x
    x = 108,004.66/375.04
  6. Step 6: Final answer
    x = 287.98

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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.