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Finding the Fourth Proportional to 256.99, 385.54 and 148.66

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Solution

The fourth proportional to 256.99, 385.54 and 148.66 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.99 : 385.54 = 148.66 : x
  2. Step 2: Convert to fraction form
    256.99/385.54 = 148.66/x
  3. Step 3: Cross multiply
    256.99x = 385.54 × 148.66
  4. Step 4: Simplify right side
    256.99x = 57,314.38
  5. Step 5: Solve for x
    x = 57,314.38/256.99
  6. Step 6: Final answer
    x = 223.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.