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Finding the Fourth Proportional to 459.83, 689.84 and 135.16

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Solution

The fourth proportional to 459.83, 689.84 and 135.16 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.83 : 689.84 = 135.16 : x
  2. Step 2: Convert to fraction form
    459.83/689.84 = 135.16/x
  3. Step 3: Cross multiply
    459.83x = 689.84 × 135.16
  4. Step 4: Simplify right side
    459.83x = 93,238.77
  5. Step 5: Solve for x
    x = 93,238.77/459.83
  6. Step 6: Final answer
    x = 202.77

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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.