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Finding the Fourth Proportional to 148.64, 204.98 and 99.50

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Solution

The fourth proportional to 148.64, 204.98 and 99.50 is: 137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.64 : 204.98 = 99.50 : x
  2. Step 2: Convert to fraction form
    148.64/204.98 = 99.50/x
  3. Step 3: Cross multiply
    148.64x = 204.98 × 99.50
  4. Step 4: Simplify right side
    148.64x = 20,393.99
  5. Step 5: Solve for x
    x = 20,393.99/148.64
  6. Step 6: Final answer
    x = 137.21

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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.