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Finding the Fourth Proportional to 342.86, 473.00 and 210.13

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Solution

The fourth proportional to 342.86, 473.00 and 210.13 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 473.00 = 210.13 : x
  2. Step 2: Convert to fraction form
    342.86/473.00 = 210.13/x
  3. Step 3: Cross multiply
    342.86x = 473.00 × 210.13
  4. Step 4: Simplify right side
    342.86x = 99,389.26
  5. Step 5: Solve for x
    x = 99,389.26/342.86
  6. Step 6: Final answer
    x = 289.89

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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.