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Finding the Fourth Proportional to 284.99, 427.40 and 102.35

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Solution

The fourth proportional to 284.99, 427.40 and 102.35 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 427.40 = 102.35 : x
  2. Step 2: Convert to fraction form
    284.99/427.40 = 102.35/x
  3. Step 3: Cross multiply
    284.99x = 427.40 × 102.35
  4. Step 4: Simplify right side
    284.99x = 43,741.74
  5. Step 5: Solve for x
    x = 43,741.74/284.99
  6. Step 6: Final answer
    x = 153.49

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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.