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Finding the Fourth Proportional to 253, 378.60 and 150.34

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Solution

The fourth proportional to 253, 378.60 and 150.34 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 378.60 = 150.34 : x
  2. Step 2: Convert to fraction form
    253/378.60 = 150.34/x
  3. Step 3: Cross multiply
    253x = 378.60 × 150.34
  4. Step 4: Simplify right side
    253x = 56,918.72
  5. Step 5: Solve for x
    x = 56,918.72/253
  6. Step 6: Final answer
    x = 224.98

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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.