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Finding the Fourth Proportional to 151.40, 208.98 and 102.35

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Solution

The fourth proportional to 151.40, 208.98 and 102.35 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 208.98 = 102.35 : x
  2. Step 2: Convert to fraction form
    151.40/208.98 = 102.35/x
  3. Step 3: Cross multiply
    151.40x = 208.98 × 102.35
  4. Step 4: Simplify right side
    151.40x = 21,389.63
  5. Step 5: Solve for x
    x = 21,389.63/151.40
  6. Step 6: Final answer
    x = 141.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.