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Finding the Fourth Proportional to 162.49, 243.75 and 98.77

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Solution

The fourth proportional to 162.49, 243.75 and 98.77 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 243.75 = 98.77 : x
  2. Step 2: Convert to fraction form
    162.49/243.75 = 98.77/x
  3. Step 3: Cross multiply
    162.49x = 243.75 × 98.77
  4. Step 4: Simplify right side
    162.49x = 24,075.19
  5. Step 5: Solve for x
    x = 24,075.19/162.49
  6. Step 6: Final answer
    x = 148.16

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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.