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Finding the Fourth Proportional to 242.84, 364.70 and 127.36

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Solution

The fourth proportional to 242.84, 364.70 and 127.36 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 364.70 = 127.36 : x
  2. Step 2: Convert to fraction form
    242.84/364.70 = 127.36/x
  3. Step 3: Cross multiply
    242.84x = 364.70 × 127.36
  4. Step 4: Simplify right side
    242.84x = 46,448.19
  5. Step 5: Solve for x
    x = 46,448.19/242.84
  6. Step 6: Final answer
    x = 191.27

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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.