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Finding the Fourth Proportional to 148.26, 204.47 and 127.53

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Solution

The fourth proportional to 148.26, 204.47 and 127.53 is: 175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 204.47 = 127.53 : x
  2. Step 2: Convert to fraction form
    148.26/204.47 = 127.53/x
  3. Step 3: Cross multiply
    148.26x = 204.47 × 127.53
  4. Step 4: Simplify right side
    148.26x = 26,075.42
  5. Step 5: Solve for x
    x = 26,075.42/148.26
  6. Step 6: Final answer
    x = 175.88

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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.