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Finding the Fourth Proportional to 149.51, 224.30 and 127.98

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Solution

The fourth proportional to 149.51, 224.30 and 127.98 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 224.30 = 127.98 : x
  2. Step 2: Convert to fraction form
    149.51/224.30 = 127.98/x
  3. Step 3: Cross multiply
    149.51x = 224.30 × 127.98
  4. Step 4: Simplify right side
    149.51x = 28,706.23
  5. Step 5: Solve for x
    x = 28,706.23/149.51
  6. Step 6: Final answer
    x = 192.00

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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.