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Finding the Fourth Proportional to 368.26, 507.84 and 242.00

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Solution

The fourth proportional to 368.26, 507.84 and 242.00 is: 333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.26 : 507.84 = 242.00 : x
  2. Step 2: Convert to fraction form
    368.26/507.84 = 242.00/x
  3. Step 3: Cross multiply
    368.26x = 507.84 × 242.00
  4. Step 4: Simplify right side
    368.26x = 122,894.74
  5. Step 5: Solve for x
    x = 122,894.74/368.26
  6. Step 6: Final answer
    x = 333.72

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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.