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Finding the Fourth Proportional to 303.65, 419.01 and 172.65

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Solution

The fourth proportional to 303.65, 419.01 and 172.65 is: 238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.65 : 419.01 = 172.65 : x
  2. Step 2: Convert to fraction form
    303.65/419.01 = 172.65/x
  3. Step 3: Cross multiply
    303.65x = 419.01 × 172.65
  4. Step 4: Simplify right side
    303.65x = 72,342.08
  5. Step 5: Solve for x
    x = 72,342.08/303.65
  6. Step 6: Final answer
    x = 238.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.