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Finding the Fourth Proportional to 373.03, 559.03 and 178

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Solution

The fourth proportional to 373.03, 559.03 and 178 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.03 : 559.03 = 178 : x
  2. Step 2: Convert to fraction form
    373.03/559.03 = 178/x
  3. Step 3: Cross multiply
    373.03x = 559.03 × 178
  4. Step 4: Simplify right side
    373.03x = 99,507.34
  5. Step 5: Solve for x
    x = 99,507.34/373.03
  6. Step 6: Final answer
    x = 266.75

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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.