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Finding the Fourth Proportional to 342.99, 473.42 and 210.26

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Solution

The fourth proportional to 342.99, 473.42 and 210.26 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.99 : 473.42 = 210.26 : x
  2. Step 2: Convert to fraction form
    342.99/473.42 = 210.26/x
  3. Step 3: Cross multiply
    342.99x = 473.42 × 210.26
  4. Step 4: Simplify right side
    342.99x = 99,537.87
  5. Step 5: Solve for x
    x = 99,537.87/342.99
  6. Step 6: Final answer
    x = 290.21

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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.