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Finding the Fourth Proportional to 303.99, 419.53 and 173.01

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Solution

The fourth proportional to 303.99, 419.53 and 173.01 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.99 : 419.53 = 173.01 : x
  2. Step 2: Convert to fraction form
    303.99/419.53 = 173.01/x
  3. Step 3: Cross multiply
    303.99x = 419.53 × 173.01
  4. Step 4: Simplify right side
    303.99x = 72,582.45
  5. Step 5: Solve for x
    x = 72,582.45/303.99
  6. Step 6: Final answer
    x = 238.77

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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.