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Finding the Fourth Proportional to 462.07, 692.93 and 188.07

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Solution

The fourth proportional to 462.07, 692.93 and 188.07 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 692.93 = 188.07 : x
  2. Step 2: Convert to fraction form
    462.07/692.93 = 188.07/x
  3. Step 3: Cross multiply
    462.07x = 692.93 × 188.07
  4. Step 4: Simplify right side
    462.07x = 130,316.51
  5. Step 5: Solve for x
    x = 130,316.51/462.07
  6. Step 6: Final answer
    x = 282.03

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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.