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Finding the Fourth Proportional to 598.77, 897.93 and 182.16

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Solution

The fourth proportional to 598.77, 897.93 and 182.16 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 897.93 = 182.16 : x
  2. Step 2: Convert to fraction form
    598.77/897.93 = 182.16/x
  3. Step 3: Cross multiply
    598.77x = 897.93 × 182.16
  4. Step 4: Simplify right side
    598.77x = 163,566.93
  5. Step 5: Solve for x
    x = 163,566.93/598.77
  6. Step 6: Final answer
    x = 273.17

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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.