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Finding the Fourth Proportional to 286.88, 430.35 and 101.77

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Solution

The fourth proportional to 286.88, 430.35 and 101.77 is: 152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 430.35 = 101.77 : x
  2. Step 2: Convert to fraction form
    286.88/430.35 = 101.77/x
  3. Step 3: Cross multiply
    286.88x = 430.35 × 101.77
  4. Step 4: Simplify right side
    286.88x = 43,796.12
  5. Step 5: Solve for x
    x = 43,796.12/286.88
  6. Step 6: Final answer
    x = 152.66

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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.