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Finding the Fourth Proportional to 345.03, 475.98 and 205.07

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Solution

The fourth proportional to 345.03, 475.98 and 205.07 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.03 : 475.98 = 205.07 : x
  2. Step 2: Convert to fraction form
    345.03/475.98 = 205.07/x
  3. Step 3: Cross multiply
    345.03x = 475.98 × 205.07
  4. Step 4: Simplify right side
    345.03x = 97,606.07
  5. Step 5: Solve for x
    x = 97,606.07/345.03
  6. Step 6: Final answer
    x = 282.89

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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.