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Finding the Fourth Proportional to 342.93, 473.07 and 210.10

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Solution

The fourth proportional to 342.93, 473.07 and 210.10 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 473.07 = 210.10 : x
  2. Step 2: Convert to fraction form
    342.93/473.07 = 210.10/x
  3. Step 3: Cross multiply
    342.93x = 473.07 × 210.10
  4. Step 4: Simplify right side
    342.93x = 99,390.96
  5. Step 5: Solve for x
    x = 99,390.96/342.93
  6. Step 6: Final answer
    x = 289.83

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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.