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Finding the Fourth Proportional to 210.80, 290.79 and 145.19

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Solution

The fourth proportional to 210.80, 290.79 and 145.19 is: 200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 290.79 = 145.19 : x
  2. Step 2: Convert to fraction form
    210.80/290.79 = 145.19/x
  3. Step 3: Cross multiply
    210.80x = 290.79 × 145.19
  4. Step 4: Simplify right side
    210.80x = 42,218.35
  5. Step 5: Solve for x
    x = 42,218.35/210.80
  6. Step 6: Final answer
    x = 200.28

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