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Finding the Fourth Proportional to 368.93, 509.19 and 242.90

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Solution

The fourth proportional to 368.93, 509.19 and 242.90 is: 335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.93 : 509.19 = 242.90 : x
  2. Step 2: Convert to fraction form
    368.93/509.19 = 242.90/x
  3. Step 3: Cross multiply
    368.93x = 509.19 × 242.90
  4. Step 4: Simplify right side
    368.93x = 123,682.25
  5. Step 5: Solve for x
    x = 123,682.25/368.93
  6. Step 6: Final answer
    x = 335.25

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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.