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Finding the Fourth Proportional to 315.99, 473.35 and 251.10

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Solution

The fourth proportional to 315.99, 473.35 and 251.10 is: 376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 473.35 = 251.10 : x
  2. Step 2: Convert to fraction form
    315.99/473.35 = 251.10/x
  3. Step 3: Cross multiply
    315.99x = 473.35 × 251.10
  4. Step 4: Simplify right side
    315.99x = 118,858.19
  5. Step 5: Solve for x
    x = 118,858.19/315.99
  6. Step 6: Final answer
    x = 376.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.