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Finding the Fourth Proportional to 303.99, 455.60 and 174.10

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Solution

The fourth proportional to 303.99, 455.60 and 174.10 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.99 : 455.60 = 174.10 : x
  2. Step 2: Convert to fraction form
    303.99/455.60 = 174.10/x
  3. Step 3: Cross multiply
    303.99x = 455.60 × 174.10
  4. Step 4: Simplify right side
    303.99x = 79,319.96
  5. Step 5: Solve for x
    x = 79,319.96/303.99
  6. Step 6: Final answer
    x = 260.93

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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.