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Finding the Fourth Proportional to 340.07, 509.76 and 203.18

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Solution

The fourth proportional to 340.07, 509.76 and 203.18 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 509.76 = 203.18 : x
  2. Step 2: Convert to fraction form
    340.07/509.76 = 203.18/x
  3. Step 3: Cross multiply
    340.07x = 509.76 × 203.18
  4. Step 4: Simplify right side
    340.07x = 103,574.31
  5. Step 5: Solve for x
    x = 103,574.31/340.07
  6. Step 6: Final answer
    x = 304.57

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