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Finding the Fourth Proportional to 314.98, 471.86 and 250.10

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Solution

The fourth proportional to 314.98, 471.86 and 250.10 is: 374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 471.86 = 250.10 : x
  2. Step 2: Convert to fraction form
    314.98/471.86 = 250.10/x
  3. Step 3: Cross multiply
    314.98x = 471.86 × 250.10
  4. Step 4: Simplify right side
    314.98x = 118,012.19
  5. Step 5: Solve for x
    x = 118,012.19/314.98
  6. Step 6: Final answer
    x = 374.67

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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.