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Finding the Fourth Proportional to 603.15, 904.41 and 192.18

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Solution

The fourth proportional to 603.15, 904.41 and 192.18 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 904.41 = 192.18 : x
  2. Step 2: Convert to fraction form
    603.15/904.41 = 192.18/x
  3. Step 3: Cross multiply
    603.15x = 904.41 × 192.18
  4. Step 4: Simplify right side
    603.15x = 173,809.51
  5. Step 5: Solve for x
    x = 173,809.51/603.15
  6. Step 6: Final answer
    x = 288.17

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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.